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A bakery bakes two kinds of bread, X and Y. With the same amount of mo

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A bakery bakes two kinds of bread, X and Y. With the same amount of mo  [#permalink]

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New post 20 Oct 2019, 21:48
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C
D
E

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Question Stats:

72% (01:58) correct 28% (02:40) wrong based on 50 sessions

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A bakery bakes two kinds of bread, X and Y. With the same amount of money, you can afford either \(\frac{2}{3}\) pounds of bread X or \(1\frac{1}{4}\) of bread Y. How many pounds can I afford of bread Y, with the same amount I can buy \(1\frac{1}{2}\) of X?

A. \(\frac{5}{4}\)

B. \(1\frac{1}{4}\)

C. \(2\frac{13}{16}\)

D. \(3\frac{3}{7}\)

E. \(5\frac{1}{4}\)

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Re: A bakery bakes two kinds of bread, X and Y. With the same amount of mo  [#permalink]

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New post 20 Oct 2019, 22:03
2
We know that the same amount that can buy 2/3 of bread X can buy 5/4 of bread Y.
X:Y = 2/3 : 5/4 = 8:15

We are to determine what quantity of bread Y can be bought by an amount of money used to buy 3/2 of bread X.
X:Y = 8:15
Therefore if X=3/2, corresponding Y=3/2 * 15/8 = 45/16 = 2 + 13/16

The answer is Option C.
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Re: A bakery bakes two kinds of bread, X and Y. With the same amount of mo  [#permalink]

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New post 20 Oct 2019, 22:18
1
Given:
1. A bakery bakes two kinds of bread, X and Y.
2. With the same amount of money, you can afford either 2/3 pounds of bread X or 1 1/4 of bread Y.

Asked: How many pounds can I afford of bread Y, with the same amount I can buy 1 1/2 of X?

M = 2/3 x = 5/4 y
x = 5/4 * 3/2 y = 15y/8
3/2x = 3/2 * 15y/8 = 45y/16 = 2 13/16 y

IMO C
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Re: A bakery bakes two kinds of bread, X and Y. With the same amount of mo  [#permalink]

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New post 20 Oct 2019, 22:28
1
2x/3 = 5y/4
x = 5y/4*3/2 = 15y/8
3x/2 = 15y/8 * 3/2 =45/16=2 13/16



OA : C

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Re: A bakery bakes two kinds of bread, X and Y. With the same amount of mo  [#permalink]

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New post 20 Oct 2019, 22:45
1
With the same amount of money, we'll get
2/3 X = 5/4 Y
So, X = 15/8 Y

Finding 1 1/2 or 3/2 X

3/2 X = 15/8 Y * 3/2 = 45/16 Y
= 2 13/16 Y

Choice C
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Re: A bakery bakes two kinds of bread, X and Y. With the same amount of mo  [#permalink]

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New post 21 Oct 2019, 01:49
1
Cost price/ amount of money = Qty which can be afforded
for item X ; cost price/qty of x = amount
item Y ; cost price/qty of y = amount
given amount is same
CP X* 3/2 = CP Y* 4/5
CP Y = CP X *15/8

now given
CP X *2/3 = CP Y / Qty of Y
CP X *2/3 = CP X *15/8 / qty Y
qty Y = 45/16
IMO C; 2 13/16 or say 45/16


A bakery bakes two kinds of bread, X and Y. With the same amount of money, you can afford either 2/3 pounds of bread X or 1 1/4 of bread Y. How many pounds can I afford of bread Y, with the same amount I can buy 1 1/2 of X?

A.5/4

B. 11/4

C. 2 13/16

D. 3 3/7

E. 5 1/4
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Re: A bakery bakes two kinds of bread, X and Y. With the same amount of mo  [#permalink]

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New post 21 Oct 2019, 04:24
1
With the same amount of money:
--> \((\frac{2}{3})*X\)
--> \((\frac{5}{4})*X\)
----------------------
How many pounds can I afford of bread Y, with the same amount I can buy \(\frac{3}{2}\) of X?

\((\frac{2}{3})X--> (\frac{5}{4})Y\)
\((\frac{3}{2})X--> Pounds\)

--> Pounds=\((\frac{3}{2})X *(\frac{5}{4})Y) / (\frac{2}{3})X\)=\((\frac{45}{16})Y\)

The answer C matches the solution.

The answer is C.
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Re: A bakery bakes two kinds of bread, X and Y. With the same amount of mo  [#permalink]

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New post 21 Oct 2019, 05:55
1
\(\frac{2}{3}x=\frac{5}{4}y\)
\(\frac{3}{2}x= \frac{?}{?} y\)

x=\(\frac{15}{8}y\)

so \(\frac{3}{2}(\frac{15}{8})\)

45/16
or 2 13/16
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Re: A bakery bakes two kinds of bread, X and Y. With the same amount of mo  [#permalink]

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New post 21 Oct 2019, 07:02
1
Quote:
A bakery bakes two kinds of bread, X and Y. With the same amount of money, you can afford either 2/3 pounds of bread X or 1+1/4 of bread Y. How many pounds can I afford of bread Y, with the same amount I can buy 1+1/2 of X?

A. 5+4/5
B. 1+1/4
C. 2+13/16
D. 3+3/7
E. 5+1/4


2x/3=5y/4
x=(5y/4*3/2)
3x/2=3(5y/4*3/2)/2
y=45/16=2+13/16

Answer (C)
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Re: A bakery bakes two kinds of bread, X and Y. With the same amount of mo   [#permalink] 21 Oct 2019, 07:02
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