Answer:
To determine the amount of cheese Keisha can buy, we need to know the prices per pound for Cheddar cheese and Swiss cheese. Without that information, we cannot provide the exact amounts. However, I can explain the general approach and provide an example using hypothetical prices.
Let's assume the price of Cheddar cheese is $5 per pound, and the price of Swiss cheese is $8 per pound. Now we can proceed with the calculations:
Buying only Cheddar cheese:
If Keisha has $30 to spend and the price of Cheddar cheese is $5 per pound, she can buy $30/$5 = 6 pounds of Cheddar cheese.
Buying only Swiss cheese:
If Keisha spends all $30 on Swiss cheese and the price is $8 per pound, she can buy $30/$8 = 3.75 pounds of Swiss cheese. Note that the result is not a whole number, so it is important to consider whether partial pounds of cheese can be purchased or if the amount should be rounded to the nearest whole number based on specific purchasing rules.
Buying a mixture of both cheeses:
To determine the amount of cheese Keisha can buy when purchasing a mixture of Cheddar and Swiss cheese, we need to know the respective prices per pound and the ratio of the mixture. Let's say Keisha plans to buy x pounds of Cheddar cheese and y pounds of Swiss cheese. If the price of Cheddar cheese is $5 per pound and the price of Swiss cheese is $8 per pound, the total cost would be given by the equation:
5x + 8y = 30
This equation represents the total cost Keisha can spend on the mixture of cheeses, with 5x representing the cost of Cheddar cheese and 8y representing the cost of Swiss cheese. The sum of these costs should equal the total amount she can spend, which is $30.
Remember, these calculations are based on hypothetical prices for Cheddar and Swiss cheese. If the actual prices are different, you can substitute the correct values into the equations to determine the specific quantities Keisha can buy.
Explanation: