Jon throws all his nickels and dimes in a jar at home each day. He counted all his coins one day and found that he had collected $38.50. if there were five times as many nickels as dimes ,how many of each coin does he have?

let x - nickel

    y - dime

5x +10y = 385

y = 5x

Substitute to 1st equation:

5x + 10(5x) = 385

55x = 38.5

x = 7 nickels

y = 5 x 7 = 35 dimes