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John bought a total of 12 Mangoes and Oranges. Each Mango costs 80 cen

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John bought a total of 12 Mangoes and Oranges. Each Mango costs 80 cen  [#permalink]

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New post 05 Nov 2019, 01:41
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John bought a total of 12 Mangoes and Oranges. Each Mango costs 80 cents and each orange costs 60 cents. If the average price of the 12 mangoes and oranges that John originally purchased was 65 cents, then how many oranges needs to return to raise the average price of his purchase to 72 cents?

A. 4
B. 5
C. 6
D. 7
E. 8


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Re: John bought a total of 12 Mangoes and Oranges. Each Mango costs 80 cen  [#permalink]

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New post 05 Nov 2019, 05:56
1
80.............60
.......65........
5................15

Ratio of mangoes to oranges= 5:15 or 1:3

Number of mangoes= 1/4*12=3
Number of oranges= 12-3=9

80............60
.........72.....
12.............8

Ratio of Mangoes:Oranges after returning some oranges= 3:2
number of Mangoes=3
number of Oranges=2

Number of oranges need to return= 9-2=7


Bunuel wrote:
John bought a total of 12 Mangoes and Oranges. Each Mango costs 80 cents and each orange costs 60 cents. If the average price of the 12 mangoes and oranges that John originally purchased was 65 cents, then how many oranges needs to return to raise the average price of his purchase to 72 cents?

A. 4
B. 5
C. 6
D. 7
E. 8


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Re: John bought a total of 12 Mangoes and Oranges. Each Mango costs 80 cen  [#permalink]

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New post 05 Nov 2019, 06:01
80(M) + 60(12-M) = 65*12
M=3

80(3) + 60(9-O) = 72(12-O)
O = 7
M = mangos
O = oranges
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Re: John bought a total of 12 Mangoes and Oranges. Each Mango costs 80 cen  [#permalink]

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New post 05 Nov 2019, 07:50
from given info
80*m+60*(12-m)= 12*65
m= 3 and O =9
later
80*3+60*(9-O)=72*(12-O)
solve for O = 7
IMO D


Bunuel wrote:
John bought a total of 12 Mangoes and Oranges. Each Mango costs 80 cents and each orange costs 60 cents. If the average price of the 12 mangoes and oranges that John originally purchased was 65 cents, then how many oranges needs to return to raise the average price of his purchase to 72 cents?

A. 4
B. 5
C. 6
D. 7
E. 8


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Re: John bought a total of 12 Mangoes and Oranges. Each Mango costs 80 cen  [#permalink]

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New post 11 Nov 2019, 14:35
1
Bunuel wrote:
John bought a total of 12 Mangoes and Oranges. Each Mango costs 80 cents and each orange costs 60 cents. If the average price of the 12 mangoes and oranges that John originally purchased was 65 cents, then how many oranges needs to return to raise the average price of his purchase to 72 cents?

A. 4
B. 5
C. 6
D. 7
E. 8


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Since 65 is 5 from 60 and 15 from 80, and 15/5 = 3, there must be 3 times many as oranges as apples. In other words, of the 12 fruits John bought originally, 9 were oranges and 3 were mangoes. We can let x = the number of oranges he needs to return to raise the average price of his purchase to 72 cents and create the equation:

[60(9 - x) + 80(3)]/(12 - x) = 72

60(9 - x) + 80(3) = 72(12 - x)

540 - 60x + 240 = 864 - 72x

12x = 84

x = 7

Answer: D
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Re: John bought a total of 12 Mangoes and Oranges. Each Mango costs 80 cen   [#permalink] 11 Nov 2019, 14:35
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John bought a total of 12 Mangoes and Oranges. Each Mango costs 80 cen

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