Omar stopped at a donut shop every day on his way to work. Last week he had eight donuts and five cappuccinos which gave him a total of 3000 calories. This week he had six donuts and three cappuccinos which was a total of 2160 cal. How many calories are in one doughnut? How many calories are in one cappuccino?

Question

Mathematics

Serena Goodman

7 September, 11:38

Omar stopped at a donut shop every day on his way to work. Last week he had eight donuts and five cappuccinos which gave him a total of 3000 calories. This week he had six donuts and three cappuccinos which was a total of 2160 cal. How many calories are in one doughnut? How many calories are in one cappuccino?

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Answers (1)

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Mario Waters · Answer 1

Donuts=d. Cappuccino = c

8d+6c=3000

6d+3c=2160

Multiply second equation by 2

12d+6c=4320

Subtract

8d+6c=3000

12d+6c=4320

-4d=-1320

d=330

Plug back into original equation

6d+3c=2160

6 (330) + 3c=2160

1980+3c=2160

c=60

Donuts 330 calories

Cappuccino 60 calories