Pablo buys a mattress set for 15% of the regular price and uses a coupon for 20% off the reduced price. if pablo paid $1223.32 for the mattress set after the incentives, what was the regular price of the mattress?

$1799

Step-by-step explanation:

We simply work backwards and write out an equation.

Lets call the initial price P.

First we have 15% off the initial price P which means that we are only paying 85% of the initial price: .85*P.

Next we use a coupon for 20% off the reduced price which means we only pay 80% of the reduced price: .80 * (.85 * P)

We know that the price paid was $1223.32, set that equal to .80 * (.85 * P)

and we find that P is $1799