Answer:
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
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