Question

The baseball team is purchasing 10 hot dogs, 4 hamburgers, and three loaded nachos. The snack bar will cover 60% of the cost for the team. The 12 players on the team are equally responsible for the rest of the cost. How much will each member owe? (Hot Dogs cost $1.65, Hamburgers cost $4.50, and Loaded Nachos Cost $3.75) It also helps if you can explain how you did your answer.

*I NEED 2 UNDERSTAND*

Answer 1

1.50

Explanation:

X = hot dog price

Y = hamburger price

5X + 4Y = 16.50

4X + 5Y = 17.25

4(5X + 4Y = 16.50)

20X + 16Y = 66

5(4X + 5y = 17.25)

20X + 25Y = 86.25

Now subtract the equations:

20X + 16Y = 66

20X + 25Y = 86.25

9Y = 20.25

Y = 2.25

Hamburger is $2.25

4X + 5(2.25) = 17.25

4X + 11.25 = 17.25

4X = 6.00

X = 1.50

Hamburgers are $2.25

Hotdogs are $1.50