A purse contains 25p coins and 50p coins. The number of 25p coins is three times the number of 50p coins .If the total money in purse is Rs.50,find the number of coins of each type
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let 25p coins be = x
and 50p coins be = y
according to given condition
x = 3y....(1)
and
x + y = 50....(2)
solving equation (1) and (2) we get
subtracting equation (2) from (1)
x + y - (x - 3y) = 50-0
x + y -x + 3y =50
4y = 50
y = 12.5
as given x = 3y
so x = 3(12.5)
we get x = 37.5
25p coins = 37.5
50p coins = 12.5
and 50p coins be = y
according to given condition
x = 3y....(1)
and
x + y = 50....(2)
solving equation (1) and (2) we get
subtracting equation (2) from (1)
x + y - (x - 3y) = 50-0
x + y -x + 3y =50
4y = 50
y = 12.5
as given x = 3y
so x = 3(12.5)
we get x = 37.5
25p coins = 37.5
50p coins = 12.5
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