Problem Solving

A breakfast that consists of 1 ounce of corn puffs and 8 ounces of fruit X provides 257 calories. When 8 ounces of fruit Y is substituted for the 8 ounces of fruit X, the total number of calories is reduced to 185. If fruit X provides 1.8 times as many calories as fruit Y, how many calories does 8 ounces of fruit Y alone provide ?
(A) 11.25
(B) 72
(C) 90
(D) 95
(E) 129.6

According to me it should be (E).

Its a matter of writing down everything in the form of equations -

C- calories in 1 ounce of corn puff
X- calories in fruit X
Y- calories in fruit Y.

1 ounce of corn puffs and 8 ounces of fruit X provides 257 calories

C + 8X = 257 --->(1)

8 ounces of fruit Y is substituted for the 8 ounces of fruit X, the total number of calories is reduced to 185

C+8Y = 185 --->(2)

fruit X provides 1.8 times as many calories as fruit Y

X = 1.8Y --->(3)

how many calories does 8 ounces of fruit Y alone provide ? 8Y=?

Using the above 3 equations, you can solve for 8Y.

Hi punitkaur:
Could you please show your calculations? I can<t get 129.6 as answer.
Thank you,
Silvia

IMO ans 90

This question was answered very recently (i.e. yesterday) https://www.beatthegmat.com/calorie-trouble-t49067.html. For some reason there are two threads for it.