You have $2.03 in change made up of only pennies dimes and nickels. You have twice as many times as nickels And twice as many pennies as dimes. How many pennies dimes and nickels do you have?

Answer 1

we can set up a system of equations

let p be the number of pennies, n be the number of nickels, and d be the number of dimes

we have $2.03 in change, so we have 2.03 = .01p + .05n + .10d

we also know d = 2n and p = 2d

so, we can use these to substitute into the equation and solve for d

2.03 = .01p + .05n + .10d

2.03 = .01(2d) + .05(.5d) + .10d

2.03 = .02d + .025d + .10d

2.03 = .145d

14 = d

then 14 = 2n, so n = 7

and p = 2(14) = 28