A hardware store sells nails for $3 per pound and screws for $5 per pound. If a customer buys a total of 12 pounds of nails and screws and pays $48, how many pounds of each did they purchase
Guide On Rating System
Vote
Let's say the customer bought x pounds of nails.
Since the customer bought a total of 12 pounds of nails and screws, they bought 12-x pounds of screws.
The cost of buying x pounds of nails is 3*x = $<<3*x=3x>>3x
The cost of buying 12-x pounds of screws is 5*(12-x) = 60-5x
The total cost is 3x + 60-5x = $48
Combining like terms, we get -2x + 60 = $48
Subtracting 60 from both sides of the equation, we get -2x = $-12
Dividing both sides of the equation by -2, we get x = $6
The customer bought <<6=6>>6 pounds of nails and 12-6 = <<12-6=6>>6 pounds of screws. Answer: \boxed{6}.
Got a question with my answer?
Cheapmath.com is completely free!
Asking question is free.
Getting answers is free.
+99