Question

A Box of dertegent is on sale for $6.50. If this price represents a 40% discount from the original price, what is the original price to the nearest cent.

Answer 1

A box of detergent costs x.
After a 40%, the box costs $6.50.
Since the final price has a 40% discount, that means the discounted price is only 60% of the original price.

60% of x equals $6.50

0.6x = 6.5

Divide both sides by 0.6

x = 10.83

Answer: The original price is $10.83

Answer 2

x-6.50=40/100x
100x-650=40x
100x-40x=650
60x=650
x=10.83 (original price)