A table showing Pounds, Price per Pound, and Total Cost. The first row shows Cranberries, with the entries 1, 4, and 1 times 4. The second row shows Almonds, with the entries 4, 5, and 4 times 5. The last row shows Mixture, with the entries 1 plus 4, c, and left-parenthesis 1 plus 4 right-parenthesis c.

Fernando purchased 1 pound of dried cranberries and 4 pounds of almonds to make a trail mix. Cranberries cost $4 per pound and almonds cost $5 per pound. What is the price per pound of the trail mix?

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1 answer

| Item | Pounds | Price per Pound | Total Cost |
|-------------|--------|-----------------|------------|
| Cranberries | 1 | $4 | $4 |
| Almonds | 4 | $5 | $20 |
| Mixture | 5 | c | (1+4)c |

Total cost of cranberries = 1 * $4 = $4
Total cost of almonds = 4 * $5 = $20

Total cost of mixture = Total cost of cranberries + Total cost of almonds = $4 + $20 = $24
Total pounds of the mixture = 1 (cranberries) + 4 (almonds) = 5 pounds

Price per pound of the mixture = Total cost of mixture / Total pounds of the mixture
Price per pound of the mixture = $24 / 5 pounds = $4.80

Therefore, the price per pound of the trail mix is $4.80.