Question 1100355
<pre>Sam has $3.15 in quarters nickels and dimes he has half as many quarters as he has dimes and nickels together he also has two more nickels than dimes how many of each coin are there

<font color = blue><font size = 4><b><u>Appears as though this should be written as:</font></font></b></u>
"Sam has $3.15 in quarters, nickels, and dimes. He has half as many quarters as he has dimes and nickels, together. 
 He also has two more nickels than dimes. How many of each coin are there?"

Let number of dimes be D
Then number of nickels is D + 2 (He has 2 more nickels than dimes)
Number of quarters: {{{matrix(1,5, (1/2)(D + D + 2), "=", (1/2)(2D + 2), "=", D + 1)}}} (He has half as many quarters
                                                         as he has dimes and nickels, together)
Amount in DIMES: .1D
Amount in NICKELS:  .05(D + 2) = .05D + .1
Amount in QUARTERS: .25(D + 1) = .25D + .25 
Total amount: $3.15 
We then get: .1D + .05D + .1 + .25D + .25 = 3.15
                                .4D + .35 = 3.15
                                      .4D = 2.8
                   Number of dimes, or {{{highlight_green(matrix(1,7, D, "=", 2.8/.4, "=", 28/4, "=", 7))}}}

                 Number of nickels: D + 2 = 7 + 2 = 9
                Number of quarters: D + 1 = 7 + 1 = 8</pre>