Question

Haider has a collection of rs5 and rs10 coins. If in all he has 80 coins amounting to Rs 600, how many coins of each type does he have

Answer 1

there are 40 rs.10 coins = 400
and 40 rs.5 coins = 200
total => rs.600

Answer 2

Let 5 rupee coin = x
And 10 rupee coin = y.

As per given condition

X+Y = 80.....(i)

5x + 10y = 600.....(ii)

From (i)
X = 80 -y .......(iii)

Putting this value on (ii)
5(80-y) +10y = 600
400 - 5y +10y = 600
5y = 200
Y = 200/5
Y = 40

Putting this value on (iii)
X = 80-40
X = 40

Therefore no. Of 5 rupee coin =x =40
No. Of 10 rupee coin = y = 40.

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