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

Answer:

last weekend (x) = 84 cakes

this weekend (y) = 26 cakes

Step-by-step 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