Question

A piggy bank contains Rs1 coins, Rs2 coins, Rs5 coins and Rs10. The number of Rs10 coins is four times the number of Rs5 coins, eight times the number of Rs2 and sixteen times the number of Rs1. If all momey in the piggy bank adds up of Rs555, find the number of Rs10 coins in it. [Hint: Let the number of Rs10 coins be x. Then 10x+5(x/2)+2(x/8)+1(x/16)=555]​

Answer 1

Answer:

A piggy bank contains Rs1 coins, Rs2 coins, Rs5 coins and Rs10. The number of Rs10 coins is four times the number of Rs5 coins, eight times the number of Rs2 and sixteen times the number of Rs1. If all momey in the piggy bank adds up of Rs555.

Let the number of Rs10 coins be x.

Then

$10x+5(x/4)+2(x/8)+1(x/16)=555$

$\\ ( \frac{160 + 20 + 4+ 1}{16} )x =555 \\ \frac{185}{16} x = 555 \\ x = 3 \times 16 = 48$

The number of Rs10 coins in it is 48.