Question

I have a total of 550 in coins of denomination 2, 5 and 10. The number of 10 coins is four times the number of 5 coins. The total number of coins is 100. How many coins of each denomination are with me?

Answer 1

Step-by-step explanation:

Let number of Rs5 coins be x

Number of Rs 10 coins =4× Number of 5 Rs coins =4x

Number of Rs2 coins =100−(x+4x)

=100−5x

Amount of Rs5 coins =5 × x = 5x

Amount of Rs10 coins =10 × 4x = 40x

Amount of Re2 coins =2(100−5x)=200-10x

As per the question, Total amount =Rs550

200−10x+5x+40x=550

35x=550−200

x=10

Number of Re 2 coins =100−5×10=50

Number of Re 2 coins =100−5×10=50Number of Rs10 coins =4x=4×10=40

Number of Re 2 coins =100−5×10=50Number of Rs10 coins =4x=4×10=40Number of Rs5 coins =x=10