Problema Solution
You are running a concession stand at a basketball game. You are selling hotdogs and sodas. Each hotdog costs $1.50 and each soda costs $0.50. At the end of the night you made a total of $78.50. You sold a total of 87 hotdogs and sodas combined. You must report the number of hot dogs sold and the the number of sodas sold. How many hot dogs were sold and how many sodas were sold?
Answer provided by our tutors
Let
x = the number of hotdogs sold, x>0
y = the number of sodas sold, y>0
At the end of the night you made a total of $78.50:
1.50x + 0.50y = 78.50
You sold a total of 87 hotdogs and sodas combined:
x + y = 87
We have the following system of equations:
1.50x + 0.50y = 78.50
x + y = 87
........
........
x = 35 hotdogs
y = 52 sodas
There were 35 hotdogs and 52 sodas sold.