A vendor sells hot dogs and bags of potato chips. A customer buys 4 hot dogs and 5 bags of potato chips for $12.00. Another customer buys 3 hot dogs and 4 bags of potato chips for $9.25. Find the const of each item.

Solution:

Cost for hot dogs: x

Cost for potato chips: y

The equation is

4x + 5y = 12.00

3x + 4y = 9.25

We solve it

x = 1.75

y = 1

So

Cost for hot dogs: $1.75

Cost for potato chips: $1.00