Question

You are running a concession stand at a basketball game. You are selling hotdogs and sodas. Each hot dog costs $2.30 and each soda costs $1.50. At the end of the night you made a total of $110.00. You sold a total of 60 hot dogs and sodas combined. You must report the number of hot dogs sold and the number of sodas sold X is the number of hot dogs and Y is the number of sodas.

a. Create two equations to represent the situation.
b. Solve the system of equations so you get an answer for x and y.
c. What does the solution mean?

Answer 1

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Answer 2

Explanation:

2.3X + 1.5Y = 110

X= 110/2.3 - 1.5Y/2.3.....(1)

x + y = 60

x= 60-Y......(2)

so use these two equations

60-Y = 110/2.3 - 1.5Y/2.3

60-110/2.3 = 1.5Y/2.3 + Y

280/23 = 8/23 Y

Y = 35

So now sub Y into (2)

X= 60-35

X= 25

You are welcome kid