Souvenir Sale

Strategies and Hints

She should buy 5 of the $10.00 items, 1 of the $3.00 items and 94 of the $0.50 items.

Solve this problem by graphing and considering only integer solutions to algebraic equations. If the variables for souvenirs are m, n, p, then m + n + p = 100. If the prices of items are a, b, and c, then the cost is: am + bn + cp = 100. Using algebra, get equations in two variables before graphing them. You might also find the solution to this problem by using the guess-and-check strategy.

Extensions:

1. Teresa would buy 5 souvenirs at $7.00, 15 at $3.00, and 80 at 0.25.