Question

A box contain rupees 1 coin and rupees 2 coin whose total value is rupees 70 .If the number of rupees 1 coin is five time that of rupees 2 coin find the number of coin of each type.

Answer 1

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Let the no.of rs 2 coins be x.
As the no . of rs 1 coins are five times the no.of rs 2 coins ,so the no . of rs 1 coins are =5×x = 5x.
Total no.of rs 1 coins are =5x ×1=5x
Total no.of rs 2 coins are=2× x =2x
A.T.Q
5x + 2x =70
7x=70
x= 70÷7
x= 10.
Hence,the total no.of rs 2 coins the bag contains is 10
The total amount of rs 1 coins the bag contains is 5×10=50.
Hence ,the contains a total amount of rs 60(rs50+rs10=rs60).