SOLUTION: the purchasing agent for a transport company is analyzing bids for seat belts from two suppliers A and B. the difference in the cost per unit from each supplier is $5, if for $1200

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Question 458013: the purchasing agent for a transport company is analyzing bids for seat belts from two suppliers A and B. the difference in the cost per unit from each supplier is $5, if for $1200 the agent could buy ten more belts from suppliers"A" then from supplier B. How many belts could he buy from A for $1500
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
the purchasing agent for a transport company is analyzing bids for seat belts from two suppliers A and B.
the difference in the cost per unit from each supplier is $5,
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if for $1200 the agent could buy ten more belts from suppliers"A" then from supplier B.
Let number from B be "x": then unit price from B is 1200/x
Number from A is "x+10"; then unit price from A is 1200/(x+10)
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Equation:
1200/x - (1200/(x+10) = $5
Multiply thru by x(x+10) and solve for "x":
1200x + 1200*10 - 1200x = 5x(x+10)
5x^2+50x - 12000 = 0
x^2 + 10x - 2400 = 0
x = 44.24
So Unit price from A is 1200/54.24 = $22.12
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How many belts could he buy from A for $1500
# of belts = 1500/22.12 = 67.8 belts (round which ever way you wish)
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Cheers,
Stan H.