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 situration?
Cheddar Cheese: $3/lb
Swiss Cheese: $5/lb
Answer:
Only cheddar 10 pounds
Only swiss 6 pounds
Use the equation to find out different combinations.
3x + 5y = 30
For example, 1 pound of cheddar and 5.4 pounds of swiss.
Step-by-step explanation:
Let x = cheddar
Let y = swiss
3x + 5y = 30
If we only wanted cheddar let y be 0
3x =30 Divide both sides by 3
x = 10
You can buy 10 pounds of cheddar.
If we only wanted swiss let x be 0
5y = 30 Divide both sides by 5
y = 6
You can buy 6 pounds of swiss.
1 pound of cheddar:
3(1) + 5y = 30 Subtract 3 from both sides
5y = 27 Divide both sides by 5
y = 5.4