Mitchell works at a concession stand selling hotdogs and cans of soda. A hotdog costs $3.00 and a can of soda costs $1.00. One night, he notices that he sold a total of 350 items and collected a total of $624.

If you are asking how many hot dogs and cans of soda are sold, this is how I solved it.

Given:

cost of hot dog $3

cost of a can of soda $1

total items sold: 350

total sales: $624

let h stand for hot dog and s stand for soda.

h + s = 350

3h + 1s = 624

h = 350 - s

3 (350-s) + s = 624

1,050 - 3s + s = 624

-2s = 624 - 1050

-2s = - 426

-2s/-2 = - 426/-2

s = 213 cans of soda

h = 350 - s

h = 350 - 213

h = 137 hot dogs

3h + s = 624

3 (137) + 213 = 624

411 + 213 = 624

624 = 624

Mitchell sold 137 hot dogs and 213 cans of soda.