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Maryam’s wallet contains a combination of $5 and $10 bills. What is the ratio of $5 bills to $10 bills?
(1) The ratio of the number of bills to the total dollar value is 1/9.
(2) The total dollar value of the bills is $360.
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GMAT 1: 720 Q49 V40
Posts: 939
What is the ratio of $5 bills to $10 bills?
No of $5 bill = n
No of $10 bill = m
1) The ratio of the number of bills to the total dollar value is 1/9.
(n+m)/(5n+10m)=1/9
9n+9m=5n+10m
4n=m --> n/m=1/4
SUFFICIENT
2) The total dollar value of the bills is $360.
5n+10m=360 --> n+2m=72
We cannot deduce n/m from this statement
NOT SUFFICIENT
FINAL ANSWER IS (A)
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No of $5 bill = n
No of $10 bill = m
1) The ratio of the number of bills to the total dollar value is 1/9.
(n+m)/(5n+10m)=1/9
9n+9m=5n+10m
4n=m --> n/m=1/4
SUFFICIENT
2) The total dollar value of the bills is $360.
5n+10m=360 --> n+2m=72
We cannot deduce n/m from this statement
NOT SUFFICIENT
FINAL ANSWER IS (A)
Posted from my mobile device
Archit3110
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total bills be x of $5 and y of $10
x+y
and total bill value is 5x+10y
find ratio of x/y
#1
The ratio of the number of bills to the total dollar value is 1/9.
x+y*9 = 5x+10y
we get
4x=y
so ratio x/y ; 1/4
sufficient
#2
The total dollar value of the bills is $360
5x+10y=360
insufficient to determine value of x & y as many possiblities
IMO A
Maryam’s wallet contains a combination of $5 and $10 bills. What is the ratio of $5 bills to $10 bills?
(1) The ratio of the number of bills to the total dollar value is 1/9.
(2) The total dollar value of the bills is $360
x+y
and total bill value is 5x+10y
find ratio of x/y
#1
The ratio of the number of bills to the total dollar value is 1/9.
x+y*9 = 5x+10y
we get
4x=y
so ratio x/y ; 1/4
sufficient
#2
The total dollar value of the bills is $360
5x+10y=360
insufficient to determine value of x & y as many possiblities
IMO A
Maryam’s wallet contains a combination of $5 and $10 bills. What is the ratio of $5 bills to $10 bills?
(1) The ratio of the number of bills to the total dollar value is 1/9.
(2) The total dollar value of the bills is $360
shameekv1989
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Location: Poland
Concentration: Entrepreneurship, Strategy
GMAT 1: 640 Q49 V27
GMAT 2: 660 Q49 V31
GMAT 3: 720 Q50 V38
GPA: 4
WE:Engineering (Consumer Electronics)
Products:
GMAT 3: 720 Q50 V38
Posts: 816
Maryam’s wallet contains a combination of $5 and $10 bills. What is the ratio of $5 bills to $10 bills?
(1) The ratio of the number of bills to the total dollar value is 1/9.
(2) The total dollar value of the bills is $360.
Let x be the number of 5$ bills
Let y be the number of 10$ bills
Qs :- What is \(\frac{x}{y}\)?
i) \(\frac{(x+y)}{(5x+10y)}\)=\(\frac{1}{9}\)
9x+9y = 5x+10y
4x = y
\(\frac{x}{y} = \frac{1}{4}\) - Sufficient
ii) Total value i.e. 5x + 10y = 360 - Insufficient as we can not find\( \frac{x}{y}\)
Answer - A
(1) The ratio of the number of bills to the total dollar value is 1/9.
(2) The total dollar value of the bills is $360.
Let x be the number of 5$ bills
Let y be the number of 10$ bills
Qs :- What is \(\frac{x}{y}\)?
i) \(\frac{(x+y)}{(5x+10y)}\)=\(\frac{1}{9}\)
9x+9y = 5x+10y
4x = y
\(\frac{x}{y} = \frac{1}{4}\) - Sufficient
ii) Total value i.e. 5x + 10y = 360 - Insufficient as we can not find\( \frac{x}{y}\)
Answer - A
ArunSharma12
Joined: 24 Oct 2015
Last visit: 20 Jul 2022
Posts: 512
Location: India
Schools: IIML-IPMX '22 (A)
GMAT 1: 650 Q48 V31
GMAT 2: 720 Q49 V38 (Online)
GPA: 4
Products:
Quote:
let the number of $5 bills be x
let the number of $10 bills be y
statement 1:
\(\frac{x + y}{5x+10y}=\frac{1}{9}\)
\(9x + 9y=5x+10y\)
\(4x=y\); \(\frac{x}{y}=\frac{1}{4}\)
sufficient
statement 2:
\(5x+10y = 360\)
\(x+2y = 72\)
not sufficient
Ans: A
Posts: 4,849
Since the number of $5 bills and $10 bills are unknowns, it gives us a chance to develop variables.
Let the number of $5 bills be x and the number of $10 bills be y. Total number of bills = x+y.
Total dollar value of $5 bills = 5x
Total dollar value of $10 bills = 10y
Therefore, total dollar value = 5x + 10y.
From statement I alone, the ratio of the number of bills to the total dollar value is \(\frac{1}{9}\).
That is, \(\frac{(x+y) }{ (5x + 10y)}\) = \(\frac{1 }{ 9}\). Simplifying this equation, we have,
\(\frac{x}{y}\) = \(\frac{1}{4}\). The ratio of the $5 bills to the $10 bills is ¼.
Statement I alone is sufficient to answer the question. Answer options B, C and E can be eliminated. Possible answer options are A or D.
From statement II alone, the total dollar value of the bills is $360.
This means 5x + 10y = 360. We have one independent equation with two unknowns. We cannot solve for a unique value for the variables and hence cannot find the required ratio.
Statement II alone is insufficient to answer the question. Answer option D can be eliminated.
The correct answer option is A.
Hope that helps!
Let the number of $5 bills be x and the number of $10 bills be y. Total number of bills = x+y.
Total dollar value of $5 bills = 5x
Total dollar value of $10 bills = 10y
Therefore, total dollar value = 5x + 10y.
From statement I alone, the ratio of the number of bills to the total dollar value is \(\frac{1}{9}\).
That is, \(\frac{(x+y) }{ (5x + 10y)}\) = \(\frac{1 }{ 9}\). Simplifying this equation, we have,
\(\frac{x}{y}\) = \(\frac{1}{4}\). The ratio of the $5 bills to the $10 bills is ¼.
Statement I alone is sufficient to answer the question. Answer options B, C and E can be eliminated. Possible answer options are A or D.
From statement II alone, the total dollar value of the bills is $360.
This means 5x + 10y = 360. We have one independent equation with two unknowns. We cannot solve for a unique value for the variables and hence cannot find the required ratio.
Statement II alone is insufficient to answer the question. Answer option D can be eliminated.
The correct answer option is A.
Hope that helps!
minustark
Joined: 14 Jul 2019
Last visit: 01 Apr 2021
Posts: 465
Status:Student
Location: United States
Concentration: Accounting, Finance
Schools: Zicklin Baruch "22
GMAT 1: 650 Q45 V35
GPA: 3.9
WE:Education (Accounting)
Products:
Maryam’s wallet contains a combination of $5 and $10 bills. What is the ratio of $5 bills to $10 bills?
(1) The ratio of the number of bills to the total dollar value is 1/9.
(2) The total dollar value of the bills is $360.
Lets say, Maryam has 'x' $5 and'y' $10 bills. So, she has total (5x+10y ). We need x/y.
1) (5x+10y)/(x+y) = 9 or, 5x +10y =9x +9y or, 4x =y. Sufficient.
2) 5x +10y =360. or, x +2y =72. Different combinations possible. Not sufficient.
A is the answer.
(1) The ratio of the number of bills to the total dollar value is 1/9.
(2) The total dollar value of the bills is $360.
Lets say, Maryam has 'x' $5 and'y' $10 bills. So, she has total (5x+10y ). We need x/y.
1) (5x+10y)/(x+y) = 9 or, 5x +10y =9x +9y or, 4x =y. Sufficient.
2) 5x +10y =360. or, x +2y =72. Different combinations possible. Not sufficient.
A is the answer.
Posts: 9
Answer C. Together
I started with looking at statement (2) The total dollar value of the bills is $360. I thought it was easier to work with and right of the bat I could see it would insufficient because it does not tell us anything about the breakdown of the bills (e.g can have 30 bills of $10 and 12 bills of $5 or 32 bills of $10 and 8 of $5)
I looked at statement (1) The ratio of the number of bills to the total dollar value is 1/9. We don't know the total value from the statement.
And I picked C because I thought something we could be worked out with the common multiplier (40) so the only combination that would work would be to have 32 bills of 10 and 8 bills of 5 so ration would be 8/32.
What did other do?
I started with looking at statement (2) The total dollar value of the bills is $360. I thought it was easier to work with and right of the bat I could see it would insufficient because it does not tell us anything about the breakdown of the bills (e.g can have 30 bills of $10 and 12 bills of $5 or 32 bills of $10 and 8 of $5)
I looked at statement (1) The ratio of the number of bills to the total dollar value is 1/9. We don't know the total value from the statement.
And I picked C because I thought something we could be worked out with the common multiplier (40) so the only combination that would work would be to have 32 bills of 10 and 8 bills of 5 so ration would be 8/32.
What did other do?
x+y= total number of bills
5x+10y = total value of bills
To find: x/y
Statement A:
\(\frac{x+y}{5x+10y}=\frac{1}{9}\)
9x+9y=5x+10y
4x=y
\(\frac{x}{y}=1/4\) sufficient
Statement B
5x+10y there are multiple possible values insufficient
5x+10y = total value of bills
To find: x/y
Statement A:
\(\frac{x+y}{5x+10y}=\frac{1}{9}\)
9x+9y=5x+10y
4x=y
\(\frac{x}{y}=1/4\) sufficient
Statement B
5x+10y there are multiple possible values insufficient
Posts: 234
Maryam’s wallet contains a combination of $5 and $10 bills. What is the ratio of $5 bills to $10 bills?
(1) The ratio of the number of bills to the total dollar value is 1/9.
(2) The total dollar value of the bills is $360.
Stem: x no of $5 bill, y no of $10 bills....x/y?
1)
x+y/5x+10y=1/9, on solving, we x/y=1/4
sufficient
2)
5x+10y=360
insufficient
Ans A
(1) The ratio of the number of bills to the total dollar value is 1/9.
(2) The total dollar value of the bills is $360.
Stem: x no of $5 bill, y no of $10 bills....x/y?
1)
x+y/5x+10y=1/9, on solving, we x/y=1/4
sufficient
2)
5x+10y=360
insufficient
Ans A
Maryam’s wallet contains a combination of $5 and $10 bills. What is the ratio of $5 bills to $10 bills?
Let the number be x and y respectively...
(1) The ratio of the number of bills to the total dollar value is 1/9.
In other words, total dollar value to the number of bills = 9/1 or it is 9 dollars per bill. This is nothing but the average then and we can straightway use WEIGHTED AVERAGE method to get the answer...Sufficient
But let us look for the answer..
Values ...5.......9.....10
number...x...(x+y)...y
SO \(\frac{x}{y}=\frac{10-9}{9-5}=\frac{1}{4}\)
(2) The total dollar value of the bills is $360.
So 5x+10y=360...
Lot of combinations of x and y can fit in
Insuff
A
_________________
Let the number be x and y respectively...
(1) The ratio of the number of bills to the total dollar value is 1/9.
In other words, total dollar value to the number of bills = 9/1 or it is 9 dollars per bill. This is nothing but the average then and we can straightway use WEIGHTED AVERAGE method to get the answer...Sufficient
But let us look for the answer..
Values ...5.......9.....10
number...x...(x+y)...y
SO \(\frac{x}{y}=\frac{10-9}{9-5}=\frac{1}{4}\)
(2) The total dollar value of the bills is $360.
So 5x+10y=360...
Lot of combinations of x and y can fit in
Insuff
A
_________________
globaldesi
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Last visit: 15 Jul 2026
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Location: India
Concentration: Finance, Human Resources
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Schools: ISB '18 (D)
Posts: 1,136
Maryam’s wallet contains a combination of $5 and $10 bills. What is the ratio of $5 bills to $10 bills?
(1) The ratio of the number of bills to the total dollar value is 1/9.
(2) The total dollar value of the bills is $360.
Ratio
let $5 bills be x and $10 bills be y
Using 1...
x+y = k
and
5x+10y = 9k
solve for x and y in form k
\(x =\frac{ k}{5}\)
and\( y =\frac{ 4k}{5}\)
thus ration = 1:4
sufficient
II
given 5x+10y = 360
or x+2y = 72
many values of x and y satisfy this equation
Thus Not sufficient
A IMO
(1) The ratio of the number of bills to the total dollar value is 1/9.
(2) The total dollar value of the bills is $360.
Ratio
let $5 bills be x and $10 bills be y
Using 1...
x+y = k
and
5x+10y = 9k
solve for x and y in form k
\(x =\frac{ k}{5}\)
and\( y =\frac{ 4k}{5}\)
thus ration = 1:4
sufficient
II
given 5x+10y = 360
or x+2y = 72
many values of x and y satisfy this equation
Thus Not sufficient
A IMO
Maryam’s wallet contains a combination of $5 and $10 bills. What is the ratio of $5 bills to $10 bills?
Let number of $5 bills = x
Number of $10 bills = y
\(\frac{x}{y} = ?\)
(1) The ratio of the number of bills to the total dollar value is 1/9.
\(\frac{x + y}{5x + 10y} = \frac{1}{9}\)
y = 4x
\(\frac{x}{y} = \frac{1}{4}\)
SUFFICIENT.
(2) The total dollar value of the bills is $360.
5x + 10y = 360
5*2 + 10*35 = 360 OR
5*4 + 10*34 = 360
Different ratios
INSUFFICIENT.
Answer A.
_________________
Let number of $5 bills = x
Number of $10 bills = y
\(\frac{x}{y} = ?\)
(1) The ratio of the number of bills to the total dollar value is 1/9.
\(\frac{x + y}{5x + 10y} = \frac{1}{9}\)
y = 4x
\(\frac{x}{y} = \frac{1}{4}\)
SUFFICIENT.
(2) The total dollar value of the bills is $360.
5x + 10y = 360
5*2 + 10*35 = 360 OR
5*4 + 10*34 = 360
Different ratios
INSUFFICIENT.
Answer A.
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Posts: 584
let the no.of $5 and $10 bills be x and y
(1) The ratio of the number of bills to the total dollar value is 1/9
x+y/5x+10y = 1/9
9x+9y=5x+10y
4x=y
x/y=1/4....................SUFFICIENT
(2) The total dollar value of the bills is $360.............CLEARLY INSUFFICIENT
OA:A
(1) The ratio of the number of bills to the total dollar value is 1/9
x+y/5x+10y = 1/9
9x+9y=5x+10y
4x=y
x/y=1/4....................SUFFICIENT
(2) The total dollar value of the bills is $360.............CLEARLY INSUFFICIENT
OA:A
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