Tyler, Griffin, and Miguel donated a total of $574 to their favorite charity. Griffin donated 7 times as much money as Tyler. Miguel donated $206 less than Griffin. How much money did Miguel donate?
Let's start by using variables to represent the amount of money donated by Tyler, Griffin, and Miguel.
Let x be the amount donated by Tyler.
Then, according to the problem, Griffin donated 7 times as much as Tyler, so Griffin donated 7x.
Miguel donated $206 less than Griffin, so Miguel donated 7x - $206.
We know that the total donated was $574, so we can set up an equation:
x + 7x + (7x - $206) = $574
Simplifying and solving for x:
15x - $206 = $574
15x = $780
x = $52
So Tyler donated $52, Griffin donated 7 times as much, or $364, and Miguel donated $206 less than Griffin, or $158.
Therefore, Miguel donated $158 to the charity.