Question

COLLECTIONS A scouting troop is collecting aluminum cans and paper to recycle. The total weight collected cannot exceed 30 pounds. The troop cannot collect more than 20 pounds of paper or 15 pounds of aluminum. If the troop earns $2.50 per pound for aluminum and $0.50 for paper, what is the maximum profit?

Group of answer choices

$35


$55


$45


$75

Answer 1

Explanation:

The scouting troop can collect a maximum of **15 pounds of aluminum** and **20 pounds of paper** for a total weight of **35 pounds** ¹.

If the troop earns $2.50 per pound for aluminum and $0.50 for paper, the maximum profit they can make is:

```

(15 pounds of aluminum x $2.50 per pound) + (20 pounds of paper x $0.50 per pound) = $37.50 + $10 = $47.50

```

Therefore, the correct answer is **$45** ¹.