GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 13 Dec 2019, 22:07 ### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # A bakery bakes two kinds of bread, X and Y. With the same amount of mo

Author Message
TAGS:

### Hide Tags

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

### Show Tags 00:00

Difficulty:   45% (medium)

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

### HideShow timer Statistics

Competition Mode Question

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

### Show Tags

2
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

SVP  D
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]

### Show Tags

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
Senior Manager  P
Joined: 01 Mar 2019
Posts: 337
Location: India
Concentration: Strategy, Social Entrepreneurship
Schools: Ross '22, ISB '20, NUS '20
GPA: 4
Re: A bakery bakes two kinds of bread, X and Y. With the same amount of mo  [#permalink]

### Show Tags

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

Posted from my mobile device
Manager  S
Joined: 05 Aug 2018
Posts: 72
Location: Thailand
Concentration: Finance, Entrepreneurship
GPA: 3.68
WE: Business Development (Energy and Utilities)
Re: A bakery bakes two kinds of bread, X and Y. With the same amount of mo  [#permalink]

### Show Tags

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
GMAT Club Legend  V
Joined: 18 Aug 2017
Posts: 5483
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: A bakery bakes two kinds of bread, X and Y. With the same amount of mo  [#permalink]

### Show Tags

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  P
Joined: 25 Jul 2018
Posts: 402
Re: A bakery bakes two kinds of bread, X and Y. With the same amount of mo  [#permalink]

### Show Tags

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.

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

### Show Tags

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  P
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]

### Show Tags

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
Display posts from previous: Sort by

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