Steve went to the concession stand and bought hamburgers and hot dogs for the kids he brought to watch a baseball game. Each child chose either one hamburger or one hotdog. Hot dogs cost $1.50 each and hamburgers cost $2.75 each. Steve spent a total of $23.75 on 10 kids. (a) Could Steve have bought an equal amount of hamburgers and hot dogs? Justify your answer.

(b) If x represents the number of hotdogs purchased and y represents the number of hamburgers purchased, write a system of equations that models this situation and determine the number of both items bought.

b)

x = 3 hotdogs

y = 7 hamburgers

Step-by-step explanation:

Steve went to the concession stand and bought hamburgers and hot dogs for the kids he brought to watch a baseball game. Each child chose either one hamburger or one hotdog. Hot dogs cost $1.50 each and hamburgers cost $2.75 each. Steve spent a total of $23.75 on 10 kids.

(a) Could Steve have bought an equal amount of hamburgers and hot dogs? Justify your answer.

An

(b) If x represents the number of hotdogs purchased and y represents the number of hamburgers purchased, write a system of equations that models this situation and determine the number of both items bought.

Let:

x = the number of hotdogs purchased y = the number of hamburgers purchased

Since the number of kids = 10

Our system for Equation is given as:

x + y = 10 Equation 1

x = 10 - y

x × $1.50 + y × $2.75 = $23.75

1.5x + 2.75y = 23.75

Let us substitute 10 - y for x in Equation 2

1.5(10 - y) + 2.75 = 23.75

15 - 1.5y + 2.75y = 23.75

- 1.5y + 2.75y = 23.75 - 15

1.25y = 8.75

y = 8.75/1.25

y = 7 hamburgers

Solving for x

x = 10 - y

x = 10 - 7

x = 3 hotdogs

Therefore,

x = 3 hotdogs

y = 7 hamburgers

b

step-by-step explanation:

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right