Question 959277

A piggy bank contains $18.30 made up of loonies, quarters, and nickels. There are 3 more quarters than loonies and twice as many nickels than loonies. How many of each coin are there?
<pre>Let the number of loonies (Canadian dollar coins), be L
Then number of quarters = L + 3
Number of nickels: 2L
We the get: L + .25(L + 3) + .05(2L) = 18.3
L + .25L + .75 + .1L = 18.3
L + .25L + .1L = 18.3 - .75
1.35L = 17.55
L, or number of loonies = {{{17.55/1.35}}}, or {{{highlight_green(13)}}}
Number of quarters: 13 + 3, or {{{highlight_green(16)}}}
Number of nickels: 2(13), or {{{highlight_green(26)}}}