Question

a man sells various desserts during the summer. Last weekend, he sold 6 more than 3 times the number of cakes than he sold this weekend. If he sold a total of 110 cakes, how many cakes did he sell each week? Let x represent last week and y represent the week before.

Answer 1

last weekend (x) = 84 cakes

this weekend (y) = 26 cakes

Explanation:

By going over what you're given in the problem:

x = Last weekend

y = this weekend

"6 more than" means you're adding 6

"3 times this weekend" means you're multiplying y by 3

putting that together means 3y + 6 = x

Total amount of cakes = 110 --> total amount means adding both this and last weekend. So, x + y = 110

with that information:

- substitute the equation for x:

3y + 6 + y = 110

- now solve for y

4y = 110 - 6

4y = 104

y = 26

- finally, solve for x through 110 = 26 + x

110 - 26 = x

x = 84