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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)

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Math Expert V
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Posts: 8336
Re: The cost of 10 pounds of apples and 2 pounds of grapes was $1 [#permalink] ### Show Tags 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) 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 _________________ e-GMAT Representative V Joined: 04 Jan 2015 Posts: 3230 Re: The cost of 10 pounds of apples and 2 pounds of grapes was$1  [#permalink]

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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.

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Re: The cost of 10 pounds of apples and 2 pounds of grapes was $1 [#permalink] ### Show Tags 2 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] ### Show Tags 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. Re: The cost of 10 pounds of apples and 2 pounds of grapes was $1 [#permalink] 01 Jul 2018, 12:50 Display posts from previous: Sort by # The cost of 10 pounds of apples and 2 pounds of grapes was$1  