SOLUTION: Can you please help me with this problem and how you got to the answer.
A carpenter goes to a hardware store to buy a specific number of pounds of nails for his business. The
Question 187480: Can you please help me with this problem and how you got to the answer.
A carpenter goes to a hardware store to buy a specific number of pounds of nails for his business. The first store he enters sells his favorite-sized nails at nine cents per pound. At this price, the carpenter realizes that he would be short $7.15 if he tried to buy the nails. The carpenter goes to a competing hardware store and finds the nails sell for six cents per pound. He realizes that after paying for the nails, he would have $2.45 left over. How many pounds of nails is he trying to buy?
Thanks :) Found 2 solutions by Alan3354, stanbon:Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! A carpenter goes to a hardware store to buy a specific number of pounds of nails for his business. The first store he enters sells his favorite-sized nails at nine cents per pound. At this price, the carpenter realizes that he would be short $7.15 if he tried to buy the nails. The carpenter goes to a competing hardware store and finds the nails sell for six cents per pound. He realizes that after paying for the nails, he would have $2.45 left over. How many pounds of nails is he trying to buy?
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c = money he has in cents.
p = pounds of nails
9p = c + 715 The price is $7.15 more than he has.
6p = c - 245
------------ Subtract eqn 2 from eqn 1
3p = 960
p = 320 pounds of nails
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That's a lot.
You can put this solution on YOUR website! A carpenter goes to a hardware store to buy a specific number of pounds of nails for his business.
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Let # of pounds be "x"
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The first store he enters sells his favorite-sized nails at nine cents per pound. At this price, the carpenter realizes that he would be short $7.15 if he tried to buy the nails.
Let "y" be the money he has.
9x = y + 715
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The carpenter goes to a competing hardware store and finds the nails sell for six cents per pound. He realizes that after paying for the nails, he would have $2.45 left over.
6x = y -245
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How many pounds of nails is he trying to buy?
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Rearrange the equations:
y= 9x - 715
y = 6x + 245
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Substitute to solve for "x":
9x - 715 = 6x + 245
3x= 960
x = 320 lbs (# of pounds he is trying to buy)
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Cheers,
Stan H.
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