A bank teller notices that he has 50 coins all of which are 5c or 10c pieces. He finds that the value of the coins is $4.20. How many of each must he have?
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Step-by-step explanation:
=>x = 5c: y = 10c
=>x + y = 50.......1
=>5x + 10y = 420......2
Multiply (1) by 10
=>10x + 10y = 500.....3
=>5x + 10y = 420.....2
Subtract 2 from 3
=>5x = 80
=>x = 16
Substitute x = 16 into Eqn (1)
=>16 + y = 50
=>y = 50 - 16
=>y = 34
Therefore there are 16 x 5c and 34 x 10c
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