Question
4) At ShopRite, oranges are on sale for \( \$ 2.50 \) per pound. Olivia purchases \( 5 \frac{1}{2} \) pounds of oranges to ma fresh orange juice. If she applies a discount of \( \frac{1}{5} \) off original price, what is the final cost of the oranges?
Ask by Hobbs Goodwin. in the United States
Mar 09,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The final cost of the oranges is \$11.00.
Solution
1. Compute the original cost without the discount. Convert \( 5 \frac{1}{2} \) to decimal:
\[
5 \frac{1}{2} = 5.5
\]
Then, multiply by the price per pound:
\[
2.50 \times 5.5 = 13.75
\]
2. Determine the discount amount. Olivia gets a discount of \(\frac{1}{5}\), so calculate:
\[
\frac{1}{5} \times 13.75 = 2.75
\]
3. Subtract the discount from the original cost to find the final cost:
\[
13.75 - 2.75 = 11.00
\]
The final cost of the oranges is \(\$ 11.00\).
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Simplify this solution Bonus Knowledge
Olivia's initial cost for the oranges can be calculated by multiplying the price per pound by the total weight in pounds. So, \( 5 \frac{1}{2} \) pounds is equal to \( 5.5 \) pounds, and therefore the initial cost is \( 2.50 \times 5.5 = 13.75 \) dollars. To apply the discount of \( \frac{1}{5} \) off the original price, which is \( 13.75 \), we calculate the discount as \( 13.75 \times \frac{1}{5} = 2.75 \). Finally, subtracting this discount from the original cost gives us the final cost of \( 13.75 - 2.75 = 11.00 \) dollars. This means that Olivia will have to pay \( 11.00 \) dollars for her fresh oranges! 🍊✨
