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

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Math Expert
Joined: 02 Sep 2009
Posts: 59721
A bakery bakes two kinds of bread, X and Y. With the same amount of mo  [#permalink]

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20 Oct 2019, 21:48
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45% (medium)

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. $$5\frac{1}{4}$$

_________________
Director
Joined: 18 May 2019
Posts: 554
Re: A bakery bakes two kinds of bread, X and Y. With the same amount of mo  [#permalink]

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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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Joined: 03 Jun 2019
Posts: 1885
Location: India
Re: A bakery bakes two kinds of bread, X and Y. With the same amount of mo  [#permalink]

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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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Posts: 337
Location: India
Concentration: Strategy, Social Entrepreneurship
Schools: Ross '22, ISB '20, NUS '20
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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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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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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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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
Senior Manager
Joined: 25 Jul 2018
Posts: 402
Re: A bakery bakes two kinds of bread, X and Y. With the same amount of mo  [#permalink]

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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.
Manager
Joined: 17 Jan 2019
Posts: 127
Re: A bakery bakes two kinds of bread, X and Y. With the same amount of mo  [#permalink]

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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
C
Director
Joined: 24 Nov 2016
Posts: 971
Location: United States
Re: A bakery bakes two kinds of bread, X and Y. With the same amount of mo  [#permalink]

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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

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

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