Question
Noah has a coupon for 30% off at his favorite clothing store. He uses it to buy
a hoodie and a pair of jeans.(6pts) 7.RP.A.3, 7.EE.B.3
a. Noah paid $28 for the jeans after using the coupon. What is the regular
price of the jeans?
a hoodie and a pair of jeans.(6pts) 7.RP.A.3, 7.EE.B.3
a. Noah paid $28 for the jeans after using the coupon. What is the regular
price of the jeans?
Answers
GPT-4o mini
To find the regular price of the jeans before the coupon was applied, we can use the following formula:
\[
\text{Sale Price} = \text{Regular Price} \times (1 - \text{Discount Rate})
\]
Given that the sale price (the amount Noah paid after using the coupon) is $28 and the discount rate is 30% (or 0.30), we can set up the equation as follows:
\[
28 = \text{Regular Price} \times (1 - 0.30)
\]
This simplifies to:
\[
28 = \text{Regular Price} \times 0.70
\]
Next, we can solve for the Regular Price by dividing both sides by 0.70:
\[
\text{Regular Price} = \frac{28}{0.70}
\]
Calculating the right side:
\[
\text{Regular Price} = 40
\]
Therefore, the regular price of the jeans is **$40**.
\[
\text{Sale Price} = \text{Regular Price} \times (1 - \text{Discount Rate})
\]
Given that the sale price (the amount Noah paid after using the coupon) is $28 and the discount rate is 30% (or 0.30), we can set up the equation as follows:
\[
28 = \text{Regular Price} \times (1 - 0.30)
\]
This simplifies to:
\[
28 = \text{Regular Price} \times 0.70
\]
Next, we can solve for the Regular Price by dividing both sides by 0.70:
\[
\text{Regular Price} = \frac{28}{0.70}
\]
Calculating the right side:
\[
\text{Regular Price} = 40
\]
Therefore, the regular price of the jeans is **$40**.