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) = 2x + 2y + 2z + 2v
She should have received two sports cars and ten pieces of furniture.