Afurniture store pays a wholesale price for a mattress. then, the store marks up the retail price to 150% of the whole price. later, they put the mattress on sale for 50% off though. the customer just left the match is on sale and paid $1200. what the retail price of the mattress before the discount?

The retail price of the mattress before discount is $2400.

Step-by-step explanation:

Given:

A furniture store pays a wholesale price for a mattress. Then, the store marks up the retail price to 150% of the whole price.

Later, they put the mattress on sale For 50% off though.

The customer just left the match is on sale and paid $1200.

Now, to get the retail price of the mattress before the discount.

Let the retail price of mattress before discount be

And the discount = 50%.

Price customer paid after discount = $1200.

Thus, according to question:

Multiplying both sides by 2 we get:

Therefore, the retail price of the mattress before discount is $2400.

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis: