Question

Bacon cheeseburgers cost $8.99 each, and meat-stuffed baked potatoes cost $7.49 each. If Hank purchased 10 burgers and potatoes for $85.40, how many of each did he purchase?

Answer 1

Hank purchased 7 bacon cheeseburgers and 3 meat-stuffed baked potatoes. A system of equations was created based on the total cost and number of items purchased, and it was solved to find the quantities of each item.

Step-by-step explanation:

To determine how many bacon cheeseburgers and meat-stuffed baked potatoes Hank purchased, we need to set up a system of equations to find the number of each item. Let's denote B as the number of bacon cheeseburgers and P as the number of meat-stuffed baked potatoes.

From the information given, we can express the total cost of these items as:

8.99B + 7.49P = 85.40

Since we know Hank purchased a total of 10 burgers and potatoes, we can also write:

B + P = 10

Now we have two equations:

1. 8.99B + 7.49P = 85.40
2. B + P = 10

From the second equation, we can find P in terms of B:

P = 10 - B

Substitute P in the first equation:

8.99B + 7.49(10 - B) = 85.40

Simplify and solve for B:

8.99B + 74.90 - 7.49B = 85.40

1.50B = 10.50

B = 7

Now, substitute B back into the equation for P:

P = 10 - B

P = 10 - 7

P = 3

Hank purchased 7 bacon cheeseburgers and 3 meat-stuffed baked potatoes.

Answer 2

7 is the answer to your questions