Question 1046531

How do you set up this problem for solving? Steve is cashing in his jar of spare nickels dimes and quarters. When he gets to the bank he receives a total of $14.70. He learned he had 133 coins in all, and that there were 3 times as many dimes as quarters. How many of each type of each type of coin did he save?
<pre>The equations you need are: {{{system(matrix(1,7, "N", "+", "D", "+", "Q", "=", "133 -------- eq_(i)"), matrix(1,10, ".05", "N", "+", ".1", "D", "+", ".25", "Q", "=", "14.7 -------- eq_(ii)"), matrix(1,4, "D", "=", "3", "Q -------- eq_(iii)"))}}}
Substitute 3Q for D in eqs (i) & (ii) to get a system in 2 variables (N & Q). Solve that system for N & Q, the number
of nickels and quarters, respectively. Knowing Q, you will then be able to find D, the number of dimes [eq (iii)].