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The total cost of 3 bananas, 2 apples, and 1 mango is $3.50.

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sandy
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The total cost of 3 bananas, 2 apples, and 1 mango is $3.50. [#permalink] New post   19 Aug 2018, 03:05
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The total cost of 3 bananas, 2 apples, and 1 mango is $3.50. The total cost of 3 bananas, 2 apples, and 1 papaya is $4.20. The ratio of the cost of a mango to the cost of a papaya is 3 : 5.

Quantity A
Quantity B
The cost of a papaya
\(\$2.00\)


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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B
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GreenlightTestPrep
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Re: The total cost of 3 bananas, 2 apples, and 1 mango is $3.50. [#permalink] New post   04 Sep 2018, 14:01
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sandy wrote:
The total cost of 3 bananas, 2 apples, and 1 mango is $3.50. The total cost of 3 bananas, 2 apples, and 1 papaya is $4.20. The ratio of the cost of a mango to the cost of a papaya is 3 : 5.

Quantity A
Quantity B
The cost of a papaya
\(\$2.00\)


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.


Let B = cost of 1 banana
Let A = cost of 1 apple
Let M = cost of 1 mango
Let P = cost of 1 papaya

The total cost of 3 bananas, 2 apples, and 1 mango is $3.50
We can write: 3B + 2A + M = 3.50

The total cost of 3 bananas, 2 apples, and 1 papaya is $4.20
We can write: 3B + 2A + P = 4.20

We have two equations:
3B + 2A + P = 4.20
3B + 2A + M = 3.50

Subtract the bottom equation from the top equation to get: P - M = 0.7


The ratio of the cost of a mango to the cost of a papaya is 3 : 5
We can write: M/P = 3/5
Cross multiple to get: 5M = 3P
Rearrange to get: 3P - 5M = 0

We now have the following:
P - M = 0.7
3P - 5M = 0

Take top equation and multiply both sides by 5 to get:
5P - 5M = 3.50
3P - 5M = 0

Subtract the bottom equation from the top equation to get:
2P = 3.50
Solve: P = 1.75 (this is the value of Quantity A)

Answer: B

Cheers,
Brent
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Yashulakki
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Re: The total cost of 3 bananas, 2 apples, and 1 mango is $3.50. [#permalink] New post   04 Apr 2021, 20:59
The total cost of 3 bananas, 2 apples, and 1 mango is $3.50. The total cost of 3 bananas, 2 apples, and 1 papaya is $4.20. The ratio of the cost of a mango to the cost of a papaya is 3 : 5.


bananas - x
apples - y
mango - z
papaya - w

3x+2y+z=3.5 ---->1
3x+2y+w=4.2----->2
subtarct (1)-(2)

w-z=0.7----->3

z:w=3:5
z=3w/5---->4
susbtitute 4 in 3
w=1.75


Answer - B


B is greater
avatar
B
lucifer6251
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Re: The total cost of 3 bananas, 2 apples, and 1 mango is $3.50. [#permalink] New post   09 Sep 2021, 20:29
3b + 2a + m = 3.50 ....... (i)
3b + 2a + p = 4.20 ........ (ii)

Given, m/p = 3/5
=> m = 3/5 * p

(ii) - (i)
p - m = 0.70
=> p - 3/5 * p = 0.70
=> 2/5 * p = 0.70
=> p = 1.75 < 2.00 (Ans: B)
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Re: The total cost of 3 bananas, 2 apples, and 1 mango is $3.50. [#permalink] New post   28 Nov 2022, 12:06
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: The total cost of 3 bananas, 2 apples, and 1 mango is $3.50. [#permalink]
28 Nov 2022, 12:06
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