Solve the problem.
-After a 13% price reduction, a boat sold for $26,970. What was the boat's price before the reduction? (Round to the nearest cent, if necessary.)
A)$30,476.10
B)$3506.10
C)$207,461.54
D)$31,000

Question

Quizplus · Accepted Answer

Let's call the boat's original price "x".

We know that after a 13% reduction, the boat sold for $26,970.

This can be written as:

x - 0.13x = 26,970

Simplifying this equation, we get:

0.87x = 26,970

Dividing by 0.87, we get:

x = 31,000

Therefore, the boat's price before the reduction was $31,000.

The best choice is D. Let x be the original price of the boat.
After a 13% reduction, the boat sold for 0.87x (100% - 13% = 87% or 0.87 as a decimal).
We know that 0.87x = $26,970.
Solving for x, we get:
x = $26,970 ÷ 0.87
x = $31,000 (rounded to the nearest dollar)
Therefore, the boat's price before the reduction was $31,000. Answer choice D is correct.

Solve the Problem. -After a 13% Price Reduction, a Boat Sold for $26,970