### Home > CAAC > Chapter 4 > Lesson 4.1.1 > Problem 4-4

THE GAME SHOW Homework Help ✎Susan had an incredible streak of good fortune as a guest on the exciting game show, “The Math Is Right.” She amassed winnings of $12,500, a sports car, two round-trip airline tickets, and five pieces of furniture.

In an amazing finish, Susan then landed on a “Double Your Prize” square and answered the corresponding math question correctly! She instantly became the show's biggest winner ever, earning twice the amounts of all her previous prizes.A week later, $25,000, a sports car, four round-trip airline tickets, and five pieces of furniture arrived at her house. Susan felt cheated. What was wrong?

Think of Susan's prizes as variables.

$12,500 = *x*

sports car = *y*

airline tickets = *z*

furniture = *v*

If Susan's total prize was doubled, all the smaller prizes (or variables) must be doubled.

2(*x* + *y* + *z* + *v*) = 2*x* + 2*y* + 2*z* + 2*v*

She should have received two sports cars and ten pieces of furniture.