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20 votes
20 votes
Max's dad bought his friends 5 bottles of water and 8 slices of pizza at the concession stand and spent $20.25. He had to go back and get one more bottle of water and 3 slices of pizza. This time the total was $6.50. What is the cost of one slice of pizza?

User Trekco
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2 Answers

19 votes
19 votes

Final answer:

After setting up and solving two equations based on the purchase transactions, the cost of one slice of pizza is found to be $1.75.

Step-by-step explanation:

To find the cost of one slice of pizza, we first need to establish two equations from the given information. We have two transactions with different quantities and total costs:

5 bottles of water and 8 slices of pizza for $20.25.

1 additional bottle of water and 3 additional slices of pizza for $6.50.

Let's use W to represent the cost of one bottle of water and P to represent the cost of one slice of pizza. From our first transaction, we can say:

5W + 8P = $20.25 ...(1)

And from the second transaction:

W + 3P = $6.50 ...(2)

Now, we can solve these equations to find the values of W and P. If we multiply equation (2) by 5, we get:

5W + 15P = $32.50 ...(3)

Then, we can subtract equation (1) from equation (3) to get:

7P = $12.25, and by dividing both sides by 7, we find that P, or the cost of one slice of pizza, is:

P = $1.75

Therefore, the cost of one slice of pizza is $1.75.

User Manoel Galdino
by
2.8k points
22 votes
22 votes

Answer:

The cost of one slice is $2

Step-by-step explanation:

Hope this helped <3

User Publicgk
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2.7k points