At a supermarket, the price of yellow onions dropped from $0.56 per pound to $0.43 per pound.

(a)

What is the percent decrease in the price of onions? (Round your answer to one decimal place.)

 %

(b)

Tomatoes are expected to undergo the same percent decrease in price. If they currently sell for $1.06 per pound, what will be the new price (in $ per lb) of tomatoes? (Round your answer to two decimal places.)

Let's solve each part of the problem step by step.

### (a) Percent Decrease in the Price of Onions

The percent decrease can be calculated using the formula:

\[
\text{Percent Decrease} = \left( \frac{\text{Old Price} - \text{New Price}}{\text{Old Price}} \right) \times 100
\]

Substitute the given values:

\[
\text{Percent Decrease} = \left( \frac{0.56 - 0.43}{0.56} \right) \times 100 = \left( \frac{0.13}{0.56} \right) \times 100 \approx 23.214\%
\]

Rounding to one decimal place:

\[
\text{Percent Decrease} \approx 23.2\%
\]

So, the percent decrease in the price of onions is **23.2%**.

### (b) New Price of Tomatoes

Tomatoes are expected to undergo the same percent decrease in price. To find the new price, we use the formula:

\[
\text{New Price} = \text{Current Price} \times \left(1 - \frac{\text{Percent Decrease}}{100}\right)
\]

Substitute the given values:

\[
\text{New Price} = 1.06 \times \left(1 - \frac{23.2}{100}\right) = 1.06 \times 0.768 = 0.81608
\]

Rounding to two decimal places:

\[
\text{New Price} \approx 0.82
\]

So, the new price of tomatoes will be **$0.82 per pound**.

### Summary:
- **(a) Percent Decrease in the Price of Onions:** 23.2%
- **(b) New Price of Tomatoes:** $0.82 per pound

Would you like further clarification or additional information on how these calculations were performed?

Here are five related questions to consider:
1. How would you calculate the original price if you only knew the percent decrease and the new price?
2. What factors could cause a similar percent decrease across different types of produce?
3. How do rounding rules affect the final result in percentage and price calculations?
4. What other ways can percent change be used to understand price trends in supermarkets?
5. How might seasonal factors influence the prices of produce like onions and tomatoes?

**Tip:** When working with percent changes, always check the direction of change—whether it's an increase or decrease—to avoid errors.

Learn how to calculate the percent decrease in price of yellow onions and determine the new price of tomatoes in a supermarket scenario. Detailed step-by-step solution with formulas and examples provided.

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