Catherine purchases 8 bags of cyprus mulch. She has a coupon for $0.75 off each bag of mulch. After applying her coupon towards the purchase, the total cost of the mulch is $22. What is the regular price for a bag of mulch?

the regular price for a bag of mulch is $3.5

Step-by-step explanation:

Let x represent the regular price for a bag of mulch.

Catherine purchases 8 bags of cyprus mulch. It means that the original cost for 8 bags of cyprus mulch is 8x

She has a coupon for $0.75 off each bag of mulch. It means that the value if the coupon for 8 bags of mulch is

8 × 0.75 = $6

After applying her coupon towards the purchase, the total cost of the mulch is $22. It means that

8x - 6 = 22

8x = 22 + 6 = 28

x = 28/8

x = 3.5

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get