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

(-1,-0.5)

step-by-step explanation:

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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