Question
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?
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?
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Koala Tutor
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Let's say the customer buys x pounds of nails.
The customer then buys 12 - x pounds of screws.
The total cost of nails is 3x dollars
The total cost of screws is 5(12 - x) = 60 - 5x dollars
The total cost of nails and screws is 3x + 60 - 5x = 48 dollars
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 pounds of nails.
Substituting the value of x into the equation 12 - x, we get 12 - 6 = <<12-6=6>>6 pounds of screws. Answer: \boxed{6}.
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