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The cost of 10 pounds of apples and 2 pounds of grapes was $1

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The cost of 10 pounds of apples and 2 pounds of grapes was $1  [#permalink]

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New post 21 Jun 2018, 09:11
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Math Expert
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Re: The cost of 10 pounds of apples and 2 pounds of grapes was $1  [#permalink]

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New post 22 Jun 2018, 04:58
Bunuel wrote:
The cost of 10 pounds of apples and 2 pounds of grapes was $12. What was the cost per pound of apples?


(1) The cost per pound of grapes was $2.

(2) The cost of 2 pounds of apples was less than the cost of 1 pound of grapes.


NEW question from GMAT® Official Guide 2019


(DS03802)



The equation is 10a+2g=12...
What is a?
1) g=2
Substitute in main equation...
One variable, one equation.. sufficient
10a+2*2=12...a=0.8
Sufficient
2) 2a<1g...
10a+2g=12..
You can have lot of solutions..
a=0.5..10*5+2g=12...g=3.5>2a or 2*0.5
a=0.8...g=2>2a
Insufficient

A
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Re: The cost of 10 pounds of apples and 2 pounds of grapes was $1  [#permalink]

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New post 22 Jun 2018, 07:34

Solution



Given:
    • The cost of 10 pounds of apples and 2 pounds of grapes was $12

To find:
    • The cost of per pound of apples

Analysing Statement 1
    • As per the information given in statement 1, the cost per pound of grapes was $2
      o So, the cost of 2 pounds of grapes = $4

As the cost of 10 pounds of apples and 2 pounds of grapes was $12, we can say:
    • The cost of 10 pounds of apples = $12 - $4

From this, we can find out the cost of every pound of apples

Hence, statement 1 is sufficient to answer the question

Analysing Statement 2
    • As per the information given in statement 2, the cost of 2 pounds of apples was less than the cost of 1 pound of grapes
    • From this statement, we can’t find out the exact cost of one pound of apple

Hence, statement 2 is not sufficient to answer the question

Hence, the correct answer is option A.

Answer: A
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Re: The cost of 10 pounds of apples and 2 pounds of grapes was $1  [#permalink]

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New post 22 Jun 2018, 10:38
1
Bunuel wrote:
The cost of 10 pounds of apples and 2 pounds of grapes was $12. What was the cost per pound of apples?

1) The cost per pound of grapes was $2.

(2) The cost of 2 pounds of apples was less than the cost of 1 pound of grapes.


NEW question from GMAT® Official Guide 2019


(DS03802)
.

Let the cost of 1 pound of apple be Rs. x

And cost of 1 pound of grapes be y.

10 pounds of apple + 2 pounds of grapes: \(10x + 2y = 12\) ---------------------------1

We have to find value of x ( cost of per pound apple)

Statement 1 : The cost per pound of grapes was $2

\(y = 2\) is given. Clearly if we substitute in equation 1, we would get the value of x.

Hence Sufficient.

Statement 1 : The cost of 2 pounds of apples was less than the cost of 1 pound of grapes.

It is given that \(2x < y\). using this in Equation 1, will only give us range.
Let's try for practice : -
\(2x < y\)
\(4x < 2y\). Using this in 1.

\(10x + 4x < 12\)
\(x < \frac{12}{14}\)

no definite value of x.
Not Sufficient.

Ans - A.
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Re: The cost of 10 pounds of apples and 2 pounds of grapes was $1  [#permalink]

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New post 01 Jul 2018, 12:50
Bunuel wrote:
The cost of 10 pounds of apples and 2 pounds of grapes was $12. What was the cost per pound of apples?


(1) The cost per pound of grapes was $2.

(2) The cost of 2 pounds of apples was less than the cost of 1 pound of grapes.


NEW question from GMAT® Official Guide 2019


(DS03802)



Need to find out the cost of per pounds Apples .

Suppose ,

the cost of per pounds apples is x
the cost of per pounds grapes is y

10 x + 2 y = 12

Statement 1:
y = $ 2

10 x + 2 y = 12
10 x + 2 * 2 = 12
10 x = 8

x = 8/10
x = 4/5.

Sufficient

Statement 2:

2x< y

both x and y are unknown. Insufficient.

Thus A is the best answer.
GMAT Club Bot
Re: The cost of 10 pounds of apples and 2 pounds of grapes was $1   [#permalink] 01 Jul 2018, 12:50
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