Question

32. Surbhi has 112 as one rupee and five rupee coins. If the number of one rupee coins is thrice
the number of five rupee coins, then how many coins of each denominations she
has?
please answer correctly​

Answer 1

Given :

• Total coins = 112
• One rupee coin is thrice from five rupees coin

To Find :-

• Each denomination she has .

SoluTion:-

Let us assume that the coins to be x .

$\implies\sf \: 5x + 1(3x) = 112$

$\implies\sf \: 5x + 3x = 112$

$\implies\sf 8x =1 12$

$\implies\sf \: x \: = \dfrac{112}{8}$

$\implies\sf \pink{ x \: = 14} \star$

Number of coin :

• $\sf {5 \: rupee \: coin \: = x = 14}$
• $\sf {1 \: rupee \: coin = 3x = 14 \times 3 = 42}$

Let's verify

$\implies \sf 5(14) + 1(42) = 112$

$\implies \sf 70 + 42 = 112$

$\implies \sf 112 = 112$

Hence, verified.