Checkpoint: Word Problems with Three Variables Solutions

Define your variables. Then write a system with three variables. Do not solve.

After three tests, Charlie had a test average of 91. The difference between the highest and lowest test score is eight. The sum of the highest and median test minus the lowest is 99.

x : highest test
y : median test
z : lowest test

$\frac{x + y + z}{3} = 91 x - z = 8 x + y - z = 99$

Note

You can use any three variables for the problem, but you should start by defining them so you can refer to them as you are writing a system. The solution to the system when solved is (96, 0, 87).