Question

The recycling center pays 10 cents per pound of bottles and 5 cents per pound of cans.

Greg and Troy Recycling Success:
Greg's Collection - Cardboard: 23 lbs, Bottles: 45 lbs, Cans: 32 lbs
Troy's Collection - Cardboard: 11 lbs, Bottles: 27 lbs, Cans: 5 lbs

Which strategy shows how much money Greg earned?
A. 45 lbs x $0.10 + 27 lbs x $0.05 = $5.85
B. (45 lbs + 27 lbs) x ($0.10 - $0.05) = $10.80
C. (45 lbs + $0.10) - (27 lbs + $0.05) = $18.05
D. 45 lbs + $0.10 + 27 lbs + $0.05 = $72.15

Answer 1

To find out how much money Greg earned for recycling, we multiply the pounds of materials by the corresponding payment rate for each and add the totals. Greg earned $4.50 for bottles and $1.60 for cans, amounting to $6.10 in total. None of the provided options (A, B, C, D) correctly represent this calculation.

Step-by-step explanation:

To calculate how much money Greg earned at the recycling center for his collection of bottles and cans, we must multiply the weight of each material by its respective payment rate. Greg collected 45 lbs of bottles and 32 lbs of cans. The payment rate for bottles is 10 cents per pound and for cans, it is 5 cents per pound. Therefore, the calculation is:

45 lbs × $0.10 for bottles and 32 lbs × $0.05 for cans.

Greg's earnings for bottles: 45 lbs × $0.10 = $4.50
Greg's earnings for cans: 32 lbs × $0.05 = $1.60
Total earnings: $4.50 + $1.60 = $6.10

None of the strategies listed in the options correctly shows the method for calculating Greg's earnings. The correct strategy involves multiplying the pounds of each material by their respective rates and then adding the results together to find the total amount earned.