The soccer team is selling tubs of cookie dough and brownie mix. Elaina raised $75 by selling one tub of cookie dough and five tubs of brownie mix. Megan raised $141 by selling three tubs of cookie dough and eight tubs of brownie mix. How much is a tub of brownie mix?

The cost of one tub of brownie mix = $12

Step-by-step explanation:

Step 1:

Let x represent one tub of cookie mix's cost and y represent one tub cookie mix's cost

Total amount raised by Elaine = $75

Number of cookie mix tub sold by Elaine = 1

Number of brownie mix tub sold by Elaine = 5

This can be represented by the equation

x + 5 y = 75 = > x = 75 - 5y

Step 2:

Total amount raised by Megan = $141

Number of cookie mix tub sold by Megan = 3

Number of brownie mix tub sold by Megan = 8

This can be represented by the equation

3 x + 8 y = 141

Step 3:

Solving the equations obtained in the above steps we have,

3 (75-5y) + 8y = 141

225 - 15y + 8y = 141

-7y = - 84 = > y = 12

Step 4:

Answer:

The cost of one tub of brownie mix is $12

Step-by-step explanation:

12 dollars