High School

Monique and Tara each make an ice-cream sundae. Monique gets 3 scoops of cherry ice-cream and 1 scoop of mint chocolate chunk ice-cream for a total of 84g of fat. Tara has 1 scoop of cherry and 3 scoops of mint chocolate chunk for a total of 60g of fat.

How many grams of fat does 1 scoop of each type of ice-cream have?

Answer :

The amount of fat in Cherry ice-cream is 24 grams.

The amount of fat in the Mint Chocolate Chunk ice-cream is 12 grams.

Writing data into equations using Algebra,3C + M = 84...(1)C + 3M = 60...(2)

Multiplying equation (2) by 3 and then subtracting equation (1) from

the result gives, 3 * (C +3M) = 3 × 603C + 9M = 180...(3)(3C + 9M = 180) - (3C + M = 84) = 8M =96M= 12

The amount of fat in the Mint Chocolate Chunk ice-cream, M = 12

grams C + 12*3 = 60C = 60-36 = 24

The amount of fat in Cherry ice-cream C = 24 grams As a result, Cherry ice cream contains 24 grams of fat and Mint Chocolate Chunk ice cream contains 12 grams of fat.

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