Question

Mary wants to buy one large pizza, one medium pizza, and three drinks. The drinks cost $p$ dollars each, the medium pizza costs two times as much as one drink, and the large pizza costs three times as much as one drink. If Mary started with $30$ dollars, how much money would she have left after making all of her purchases?

Answer 1

`30-8p`

Explanation:

Let p represent cost of each drink.

We have been given that the medium pizza costs two times as much as one drink, so the cost of medium pizza would be
`2p`.

We are also told that the large pizza costs three times as much as one drink, so the cost of la pizza would be
`3p`.

We have been given that Mary wants to buy one large pizza, one medium pizza, and three drinks.

Since the cost of one drink is p, so cost of 3 three drinks would be
`3p`.

The total cost of one large pizza, one medium pizza, and three drinks would be
`2p+3p+3p=8p`

Mary started with $30, so amount left after all of her purchases would be 30 minus total cost of all purchases.

`30-8p`

Therefore, Mary will have
`30-8p` dollars left after making all of her purchases.