Question
1 A store is having a 30\%6-off sate on all merchandise. 1. If Priya buys one item and saves \( \$ 24 \), what was the originat price of her purchase? Type the answer in the box below. \( \$ \) Thpe your response in the space below. 2 . Explain your reasoning. Typer
Ask by Carroll Estrada. in the United States
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
**1. Answer:**
\$80
**2. Explanation:**
If Priya saves \$24 with a 30% discount, the original price is \$80.
Solution
**1. Answer:**
\(\$80\)
**2. Explanation:**
Let \( x \) be the original price of the item. Since the sale gives a \( 30\% \) discount, Priya saves
\[
0.30x = 24.
\]
To find \( x \), divide both sides of the equation by \( 0.30 \):
\[
x = \frac{24}{0.30} = 80.
\]
Thus, the original price of the item is \(\$80\).
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Simplify this solution Mind Expander
1. \( \$ 80 \) 2. To find the original price of the item Priya purchased, we can set up the equation based on her savings. Given that she saved \$24, which is 30% of the original price, we can represent the original price as \( x \). The equation is \( 0.30x = 24 \). Dividing both sides by 0.30 gives \( x = 24 / 0.30 \), which simplifies to \( x = 80 \). Hence, the original price of her purchase was \$80.
