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# If 3 apples and 4 bananas costs \$1.37, and 5 apples and 7 bananas cost

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Math Expert
Joined: 02 Sep 2009
Posts: 53066
If 3 apples and 4 bananas costs \$1.37, and 5 apples and 7 bananas cost  [#permalink]

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17 Oct 2018, 01:34
00:00

Difficulty:

15% (low)

Question Stats:

91% (02:01) correct 9% (01:53) wrong based on 60 sessions

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If 3 apples and 4 bananas costs \$1.37, and 5 apples and 7 bananas costs \$2.36, what is the total cost of 1 apple and 1 banana?

A. \$0.38
B. \$0.39
C. \$0.40
D. \$0.41
E. \$0.42

_________________
Manager
Joined: 09 Jun 2014
Posts: 238
Location: India
Concentration: General Management, Operations
Schools: Tuck '19
If 3 apples and 4 bananas costs \$1.37, and 5 apples and 7 bananas cost  [#permalink]

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Updated on: 17 Oct 2018, 02:18
1
Bunuel wrote:
If 3 apples and 4 bananas costs \$1.37, and 5 apples and 7 bananas costs \$2.36, what is the total cost of 1 apple and 1 banana?

A. \$0.38
B. \$0.39
C. \$0.40
D. \$0.41
E. \$0.42

here is my approach..

Let a be the cost of apple and b be the cost of banannas

So we have two equations

3a+4b =1.37 ------ eqn 1

5a + 7b=2.36 ----- eqn 2

Now we need the cost of 1.a+ 1b

Simply multiple eq1 by 2 and subtract 2 from this

6a+8b =2.74 eqn 1 after mutiplying by 2
5a + 7b=2.36 ----- eqn 2

Now subtract eqn 2 from new eq1

a+b=0.38

So my OA is A.

Press Kudos if it helps!!

Originally posted by prabsahi on 17 Oct 2018, 01:58.
Last edited by prabsahi on 17 Oct 2018, 02:18, edited 1 time in total.
Intern
Joined: 17 Dec 2016
Posts: 19
Re: If 3 apples and 4 bananas costs \$1.37, and 5 apples and 7 bananas cost  [#permalink]

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17 Oct 2018, 02:09
Bunuel wrote:
If 3 apples and 4 bananas costs \$1.37, and 5 apples and 7 bananas costs \$2.36, what is the total cost of 1 apple and 1 banana?

A. \$0.38
B. \$0.39
C. \$0.40
D. \$0.41
E. \$0.42

(1) 3a + 4b = 1.37
(2) 5a + 7b = 2.36

(2) - (1) : 2a + 3b = 2.36 - 1.37 = 0.99 (3)

(1) - (3) : a + b = 1.37 - 0.99 = 0.38

--> A is the answer
Manager
Joined: 09 Jun 2014
Posts: 238
Location: India
Concentration: General Management, Operations
Schools: Tuck '19
Re: If 3 apples and 4 bananas costs \$1.37, and 5 apples and 7 bananas cost  [#permalink]

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17 Oct 2018, 02:19
yenbh wrote:
Bunuel wrote:
If 3 apples and 4 bananas costs \$1.37, and 5 apples and 7 bananas costs \$2.36, what is the total cost of 1 apple and 1 banana?

A. \$0.38
B. \$0.39
C. \$0.40
D. \$0.41
E. \$0.42

(1) 3a + 4b = 1.37
(2) 5a + 7b = 2.36

(2) - (1) : 2a + 3b = 2.36 - 1.37 = 0.99 (3)

(1) - (3) : a + b = 1.37 - 0.99 = 0.38

--> A is the answer

Thanks for your answer,I did take up the wrong data..

Re: If 3 apples and 4 bananas costs \$1.37, and 5 apples and 7 bananas cost   [#permalink] 17 Oct 2018, 02:19
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# If 3 apples and 4 bananas costs \$1.37, and 5 apples and 7 bananas cost

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