SOLUTION: a sporting goods store receives a shipment of 124 bags. two types of bags type a 38.50 type b 22.50 total cost is 3430 how many of each type?

Question 322557: a sporting goods store receives a shipment of 124 bags. two types of bags type a 38.50 type b 22.50 total cost is 3430 how many of each type?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
a sporting goods store receives a shipment of 124 bags.
two types of bags: type a 38.50 type b 22.50 total cost is 3430 how many of each type?
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Quantity Eq.: a + b = 124
Value Eq.:::38.5a + 22.5b = 3430
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Multiply thru 1st Eq by 385
Multiply thru 2nd Eq by 10
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385a + 385b = 385*124
285a + 225b = 34300
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Subtract 2nd from 1st and solve for "b":
160b = 13440
b = 84 (# of type "b" bags
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Since a + b = 124, a = 124-84 = 40 (# of type "a" bags)
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Cheers,
Stan H.

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