SOLUTION: An elevator has a capacity of 500 kg. Suppose an average child weighs 34 kg and an average adult weighs 75 kg. Find the combinations of adults and children that would exceed the

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Question 65901This question is from textbook Algebra 1
: An elevator has a capacity of 500 kg. Suppose an average child weighs 34 kg and an average adult weighs 75 kg. Find the combinations of adults and children that would exceed the weight limit of this elevator by no more than 50 kg.
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This question is from textbook Algebra 1

Answer by checkley71(8403)   (Show Source): You can put this solution on YOUR website!
550=75a+34c let a=1,2,3,4,5,6,7 then c=13,11,9,5,5,2,0
550=75+34c
34c=550-75
34c=475
c=425/34
c=13.97
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550=75*2+34c
34c=550-150
34c=400
c=400/34
c=11.8
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550=75*3+34c
34c=550-225
34c=325
c=325/34
c=9.55
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550=75*4+34c
34c=550-300
34c=250
c=200/34
c=5.88
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550=75*5+34c
34c=550-375
34c=175
c=175/34
c=5.15
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550=75*6+34c
34c=550-450
34c=100
c=100/34
c=2.94
-------------------
550=75*7+34c
34c=550-525
34c=25
c=25/34
c=.73
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