Question

Four students are solving the problem shown.

Carlos has a coupon for 18% off any item of clothing in a store. He uses the coupon and gets $12 off the price of a shirt. What is the original price of the shirt?

Jenna's work: x= 12/0.18
Tia's work: 18x= 12
Zamir's work: 0.12x= 18
Li's work: 3/25= 18

Which student has the correct equation to find the original price of the shirt, x?

Answer 1

Zamir's work is correct.

Explanation:

The problem states that Carlos received a discount of 18% off the original price of the shirt. This means that he paid 100% - 18% = 82% of the original price.

Therefore, if x represents the original price of the shirt, then the amount he paid after the discount is 0.82x.

The problem also states that he received a discount of $12. Therefore, we can write the equation:

0.82x - 12 = x

Simplifying this equation gives:

0.18x = 12

Dividing both sides by 0.18 gives:

x = 66.67

So the original price of the shirt was $66.67.