The number of hot dogs were sold is 35 and and the number of sodas
were sold is 52
Step-by-step explanation:
You are running a concession stand at a game.
You are selling hot dogs and sodas
1. Each hot dog costs $1.50 and each soda costs $0.50
2. At the end of the night you made a total of $78.50
3. You sold a total of 87 hot dogs and sodas combined
Let us put the information above in a system of equations and
solve it to find how many hot dogs and soda were sold
Assume that the number of hot dogs were sold is x and the
number of sodas were sold is y
∵ The number of hot dogs were sold is x
∵ The number of sodas were sold is y
∵ You sold a total of 87 hot dogs and sodas combined
∴ x + y = 87 ⇒ (1)
∵ Each hot dog costs $1.50
∵ Each soda costs $0.50
∵ You made a total of $78.50
∴ 1.5 x + 0.5 y = 78.5 ⇒ (2)
Multiply equation (1) by -0.5 to eliminate y
∵ (-0.5) x + (-0.5) y = (-0.5) (87)
∴ -0.5 x - 0.5 y = -43.5 ⇒ (3)
- Add equations (2) and (3)
∴ x = 35
Substitute the value of x in equation (1) to find y
∵ x + y = 87
∴ 35 + y = 87
- Subtract 35 from both sides
∴ y = 52
The number of hot dogs were sold is 35 and and the number of
sodas were sold is 52
Learn more:
You can learn more about solving the system of equations in brainly.com/question/3739260
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