CPM Homework Help : CC3 Problem 4-8

THE GAME SHOW

Susan had an incredible streak of good fortune as a guest on an exciting game show called “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?

Hint:

Think of Susan's prizes as variables.

$\$12,500=x$

sports car $=y$

airline tickets $=z$

furniture $=v$

More Help:

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

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

Answer:

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