To find out which bag is cheaper, we can calculate the cost per pound for each option.
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40-pound bag for $30.99: \[ \text{Cost per pound} = \frac{30.99}{40} = 0.77475 \text{ or about } $0.775 \text{ per pound} \]
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10-pound bag for $12.98: \[ \text{Cost per pound} = \frac{12.98}{10} = 1.298 \text{ or about } $1.30 \text{ per pound} \]
Now we compare the two prices:
- 40-pound bag: approximately $0.775 per pound
- 10-pound bag: approximately $1.30 per pound
The 40-pound bag is cheaper at about $0.775 per pound compared to the 10-pound bag at about $1.30 per pound.