SOLUTION: A girl can put 8 large cases and 10 small cases into a box for shipping. In one shipment, she can send a total of 96 cases.If there are more large cases than small cases, how many

Question 1055855: A girl can put 8 large cases and 10 small cases into a box for shipping. In one shipment, she can send a total of 96 cases.If there are more large cases than small cases, how many box did she ship?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A girl can put 8 large cases and 10 small cases into a box for shipping. In one shipment, she can send a total of 96 cases.If there are more large cases than small cases, how many boxs did she ship?
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8L + 10S = 96
L > S
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4L + 5S = 48
L = (-5/4)S + 12
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(-5/4)S + 12 > S
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(5/4)S+S < 12
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(9/4)S < 12
S < 48/9
S < 5 1/3
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# of Small = 5
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Solve for "L"
4L + 5S = 48
4L + 25 = 48
4L = 23
L = 5 3/4 (round down to L = 5)
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She shipped 5 cases , each having 8large and 10 small boxes.
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She shipped 5*8 large and 5*10 small
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Total:: She shipped 40 + 50 = 90 boxes
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Cheers,
Stan H.
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