Question

A money box contains one ruppee and two ruppee coins in the ratio 5:6 . If the total value of the coins is ruppees 85 , find the number of two ruppee coins

Answer 1

let the 1 rupee coins be 5x
let the 2 rupee coins be 6x
according to the question
$1(5x) + 2(6x) = 85 \\ 5x + 12x = 85 \\ 17x = 85 \\ x = 5$
so 1 rupee coins are 25
2 rupee coins are 30