SOLUTION: A drinks stall sells small, medium and large cups of fruit drink for �1.50, �2 and �2.50 respectively. In one morning, three times as many medium cups were sold a small cups and th

Question 1103797: A drinks stall sells small, medium and large cups of fruit drink for �1.50, �2 and �2.50 respectively. In one morning, three times as many medium cups were sold a small cups and the number of large cups sold was 140 less than the number of medium cups. If the total of the drink sales was �1360, how many of each size cup were sold?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A drinks stall sells small, medium and large cups of fruit drink for �1.50, �2 and �2.50 respectively. In one morning, three times as many medium cups were sold as small cups and the number of large cups sold was 140 less than the number of medium cups. If the total of the drink sales was �1360, how many of each size cup were sold?
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Equations:
Quantity:: m = 3s
Quantity:: L = m-140
Valuel:: 1.5s + 2m + 2.5L = 1360
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Substitute for "s" and for "L" ; solve for "m"
1.5(m/3) + 2m + 2.5(m-140) = 1360
0.5m + 2m + 2.5m - 350 = 1360
5m = 1710
m = 342 (# of medium cups)
Solve for "s" and "L".
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Cheers,
Stan H.
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