SOLUTION: A grain-storage warehouse has a total of 30 bins. Some hold 20 tons of grain each, and the rest hold 15 tons each. How many of each type of bin are there if the capacity of the war

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Question 55633: A grain-storage warehouse has a total of 30 bins. Some hold 20 tons of grain each, and the rest hold 15 tons each. How many of each type of bin are there if the capacity of the warehouse is 510 bins?
Answer by venugopalramana(3286) About Me  (Show Source):
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A grain-storage warehouse has a total of 30 bins. Some hold 20 tons of grain each ( T SAY), and the rest hold 15 tons each( F SAY ). How many of each type of bin are there if the capacity of the warehouse is 510 bins?
T+F = 30..................1
CAPACITY OF TWENTY TON BINS = 20T
CAPACITY OF FIFTEEN TON BINS = 15F
TOTAL = 20T+15F = 510..OR.....4T+3F=102....................2
3*EQN1-EQN.2 GIVES
3T+3F-4T-3F=3*30-102=90-102=-12
-T=-12
T=12
F=30-12=18