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?

Respuesta :

Answer with Step-by-step explanation:

I would like to answer Part 4 first.

Part 4: What linear equation in standard form can she use to model the​ situation?

The situation says:

A total of $30 can be spent on "x" number of pounds of Cheddar Cheese and "y" number of pounds of Swiss Cheese.

Mathematically:

$30 = A*x + B*y

Here "A" is the price of Cheddar cheese and "B" is the price of Swiss cheese.

Part 1: How many pounds of cheese can Keisha get if she buys only Cheddar​ cheese?

Answer:

If she is going to buy only Cheddar cheese it means she will not buy Swiss which means "Y=0". This implies that:

$30 = A*x + B*0

$30 = A*x

x = $30 / A

I don't know the price of Cheddar Cheese, we can suppose it is $6 per pound.

So by putting values, we have:

x = $30 / $6 = 5 pounds

Part 2: Only Swiss​ cheese?

Answer:

Just like part 1, here "X=0". This implies that:

$30 = A*0 + B*y

$30 = B*y

x = $30 / B

I don't know the price of Swiss Cheese, we can suppose it is $10 per pound.

So by putting values, we have:

x = $30 / $10 = 3 pounds

Part 3: A mixture of both​ cheeses?

Answer:

There is number of answers to this question because the purchase of the type of cheese depends upon Keisha's priorities and desires.