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
OA is C
carlories
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Assume that each ounce of corn puffs provides c calories and each ounce of fruit x provides x calories.
c + 8x = 257
After the substitution, we find that that number of calories that fruit y provides for each ounce is x/(1.8).
c + 8x/(1.8) = 185
Solving both the equations:
8x(8/18) = 72 => x = 81/4 calories
8 ounces of fruit y provides 8(81/4)(10/18) = 20/18 * 81 = 90 calories
Choose C.
c + 8x = 257
After the substitution, we find that that number of calories that fruit y provides for each ounce is x/(1.8).
c + 8x/(1.8) = 185
Solving both the equations:
8x(8/18) = 72 => x = 81/4 calories
8 ounces of fruit y provides 8(81/4)(10/18) = 20/18 * 81 = 90 calories
Choose C.