Question

All tubes of watercolor paint at an art supply store have the the same price. An artist has a coupon for $0.50 off each tube of paint she buys. She buys 6 tubes of paint and pays a total of $84.30 after the coupon is applied. Write and solve an equation to find r, the regular price of each tube of paint. Expalin each step of your solution.

Answer 1

Let us assume the regular price of each tube of paint = r.

0.50 off each tube.

New price of each tube = r - 0.50.

She buy 6 tubes.

Total price of 6 tubes = 6×(r-0.50).

We are given total price = $84.30 .

Therefore, we can setup an equation

6×(r-0.50) = 84.30.

Distributing 6 over (r-0.50), we get

6r - 3.0 = 84.30

Adding 3.0 on both sides, we get

6r - 3.0+3.0 = 84.30+3.0

6r = 87.30

Dividing both sides by 6, we get

6r/6 = 87.30/6

r = 14.55

Therefore, required equation is 6(r-0.50) = 84.30 and the regular price of each tube of paint is $14.55.