Question

Keisha is catering a luncheon. She has

$30 to spend on a mixture of Cheddar
cheese and Swiss cheese. How many
pounds of cheese can Keisha get if she
buys only Cheddar cheese? Only Swiss
cheese? A mixture of both cheeses? What
linear equation in standard form can she
use to model the situation?

Answer 1

If she buys only​ Cheddar, and she spends all ​$30, she can buy

10 pounds.

If she buys only​ Swiss, and she spends all ​$30, she can buy

6 pounds.

If she buys a mixture of both​ cheeses, there are many possible amounts that she could buy.

The equation that models the amounts is 3x + 5y = 30​, where x is the pounds of Cheddar and y is pounds of Swiss.

Answer 2

only cheddar: 10 lbs

only swiss: 6 lbs

mixture: many possible amounts

equation: 3x+5y=30

Explanation: