Question

Peter wants to purchase pizza pies and breadsticks for a party. The cashier tells him that pizza pies are $8 each and breadsticks are $5 each. Peter cannot spend more than $120. Which of the following options models the number of pizza pies and breadsticks that Peter can purchase? Let y represent the number of pizza pies purchased and let x represent the number of breadsticks purchased.

A.5x + 8y ≤ 120 

B.5x + 8y ≥ 120  C.8x + 5y ≤ 120  D.8x + 5y ≥ 120

Answer 1

Answer: A. 5x + 8y less than or equal to 120

Explanation:

Answer 2

The answer is A.) 5x+8y≤120

To get this answer the first thing I did was notice what it says the x and y variables stand for. The "x variable represents the number of breadsticks purchased" and "the y variable represents the number of pizza pies purchased". It also says that each breadstick is $5 and each pizza pie is $8. Accordingly, we need to match our variables with what we're buying. So, the y be with 8 and the x be with 5.

So, our expression will have a 5x and an 8y in it.

Now if we notice, it says he can spend no more than $120, so that means he can spend $120 or less. The less than or equal to sign is ≤.

Now we can find our answer. The only answer with 5x and 8y with a ≤120 is answer choice A

Hope this helped!! :))