Question

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 66 of fat. Tara has 1 scoop of Cherry and 3 scoops of Mint Chocolate Chunk for a total of 70 of fat. How many grams of fat does 1 scoop of each type of ice cream have?

Answer 1

Cherry ice cream contains 19.75 grams of fat

Mint chocolate chunk ice cream contains 6.75 grams of fat.

Explanation:

From the given question,

3C + 1M = 66 ............. 1

1C + 3 M = 70 ........... 2

Multiply equation 1 by 1, and 2 by 3 to have,

3C + 1M = 66

3C + 9 M = 210

Subtract,

1 M - 9 M = 66 - 210

-8 M = -54

Divide through by -8 to have,

M = 6.75

Substitute the value of M in equation 1,

3C + 1(6-75) = 66

3C = 66 - 6.75

3C = 59.25

C = 19.75

Thus,

1 scoop of the Cherry ice cream contains 19.75 grams of fat, while 1 scoop of the Mint chocolate chunk ice cream contains 6.75 grams of fat.