Answer :
The factors in the word problem for the amount of fat in the ice cream
combination are given by the fat in each constituent.
The amount of fat in Cherry ice-cream is 11 grams.
The amount of fat in the Mint Chocolate Chunk ice-cream is 16 grams.
Reasons:
The given parameters are;
Let C represent the amount of fat in Cherry ice-cream, and let M represent
the amount of fat in Mint Chocolate Chunk ice-cream, we get;
4·C + M = 60...(1)
C + 4·M = 75...(2)
Multiplying equation (1) by 4 and then subtracting equation (2) from the
result gives;
4 × (4·C + M) = 4 × 60
16·C + 4·M = 240...(3)
(16·C + 4·M) - (C + 4·M) = 240 - 75
15·C = 165
The amount of fat in Cherry ice-cream C = 11 grams
4 × 11 + M = 60
M = 60 - 4 × 11 = 16
The amount of fat in the Mint Chocolate Chunk ice-cream, M = 16 grams
