Question

At a concession stand, popcorn costs $1.10 and nachos cost $2.35. One day, the receipts for a total of 172 popcorn and nachos were $294.20. How many popcorns were sold.

Please show work!

I don't understand

Answer 1

let number of nachos be x
then number of popcorns = 172-x

1.1x + 2.35(172-x) = 294.20
times 100
110x + 235(172-x) =29420
110x + 40420 - 235x = 29420
-125x = -10000
x = 88

so 88 nachos and 172-88 or 84 popcorn