Jesse ate 100 donuts in five days. Each day 6 more donuts than the day before. How many donuts did she eat each day?

She ate 8 donuts the first day, 14 on the second, 20 on the third, 26 on the fourth, and 32 on the fifth day

Step-by-step explanation:

Over the course of 5 days, she ate 100 donuts, each day eating 6 more than the day before. Let n be the number of donuts she ate on the first day, then she ate ...

Day 1: n donuts

Day 2: n + 6 donuts

Day 3: n + 12 donuts

Day 4: n + 18 donuts

Day 5: n + 24 donuts

Add the days together and get the equation ...

n + (n + 6) + (n + 12) + (n + 18) + (n + 24) = 100

Now combine like terms and solve for n ...

5n + 60 = 100

5n = 40

n = 8

She ate 8 donuts the first day, 14 on the second, 20 on the third, 26 on the fourth, and 32 on the fifth day