Answer:
25 one-dollar coins, 16 half-dollar coins, and 164 quarters
Step-by-step explanation:
First, set up equations based on the information given:



Then, substitute <em>q</em> in the first equation with the expression from the third equation:
![0.25[4(d+h)]+0.50h+1.00d=74\\1d+1h+0.50h+1.00d=74\\2d+1.5h=74](https://tex.z-dn.net/?f=0.25%5B4%28d%2Bh%29%5D%2B0.50h%2B1.00d%3D74%5C%5C1d%2B1h%2B0.50h%2B1.00d%3D74%5C%5C2d%2B1.5h%3D74)
Next, substitute <em>h</em> in that equation with the expression from the second equation:


Solve for <em>d</em>, the number of one-dollar coins:

Substitute 25 for <em>d</em> in the second equation to find <em>h</em>, the number of half-dollar coins:



Substitute 25 for <em>d</em> and 16 for <em>h</em> in the third equation to find <em>q</em>, the number of quarters:

Then, verify that the coins total $74:

Next, verify that the number of half-dollar coins is one more than three-fifths of the number of one-dollar coins:



Finally, verify that the number of quarters is four times the number one-dollar and half-dollar coins together:
