To estimate the quantities of fruit Randy can buy with $15, we can round the costs per pound to make quick calculations. Here are the estimated costs:
- Apples: $1.59 ≈ $1.60
- Cherries: $5.28 ≈ $5.30
- Grapes: $2.78 ≈ $2.80
- Pears: $1.41 ≈ $1.40
- Strawberries: $3.12 ≈ $3.10
Now, let's analyze the quantities Randy wishes to buy and calculate the estimated total costs:
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Apples: 7.2 pounds \[ 7.2 , \text{pounds} \times 1.6 , \text{dollars/pound} \approx 11.52 , \text{dollars} \]
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Cherries: 4.1 pounds \[ 4.1 , \text{pounds} \times 5.3 , \text{dollars/pound} \approx 21.73 , \text{dollars} \]
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Grapes: 6.89 pounds \[ 6.89 , \text{pounds} \times 2.8 , \text{dollars/pound} \approx 19.35 , \text{dollars} \]
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Pears: 10.75 pounds \[ 10.75 , \text{pounds} \times 1.4 , \text{dollars/pound} \approx 15.05 , \text{dollars} \]
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Strawberries: 4.22 pounds \[ 4.22 , \text{pounds} \times 3.1 , \text{dollars/pound} \approx 13.09 , \text{dollars} \]
Now, let's see which estimated total costs are within Randy's budget of $15:
- Apples: Approximately $11.52 (within budget)
- Cherries: Approximately $21.73 (beyond budget)
- Grapes: Approximately $19.35 (beyond budget)
- Pears: Approximately $15.05 (beyond budget)
- Strawberries: Approximately $13.09 (within budget)
Based on the estimates, Randy can reasonably buy:
- 7.2 pounds of apples
- 4.22 pounds of strawberries
Final Answer: 7.2 pounds of apples and 4.22 pounds of strawberries are the quantities Randy can reasonably buy.
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