Question 1094185
<br>The "trick" makes this easier to solve than it might have been without the trick.  The requirement to have the same number of each type of coin means the total, $52.40, is an integer multiple of the value of 1 each of the 4 kinds of coins.<br>
5240 = 131*40<br>
So you either have to have 131 each of 4 coins that have a total value of 40 cents, or 40 each of 4 coins that have a total value of $1.31.  There are no 4 different coins that have a total value of 40 cents.  The 4 coins that have a total value of $1.31 are a dollar coin, a quarter, a nickel, and a penny.<br>
So the required combination is 40 each of a dollar, quarter, nickel, and penny.