</em>First, write out an equation showing the number of purple marbles. P=5W-6 Then, write out the main equation. W+P=96 W+5W-6=96 Add 6 to both sides. W+5W=102 6W=102 Divide both sides by 6 W=17 Now that we know there are 17 white marbles, we can go back to the equation about how many purple marbles there are. P=5W-6 Plug in the value for W, which is 17. P=5(17)-6 P=85-6 P=79
To make sure your answer is correct, check your work by plugging in the values for P+W=96. 79+17=96 Answer: There are 79 purple marbles.