Question

At a cost restaurant the cost for a hot dog and a soft drink is $2.10. The cost for two hot dogs and three soft drinks is $5.15. Determine the cost of a soft drink

Answer 1

The cost of soft drink is $0.95

Explanation:

Let the cost of hot dog be x

Cost of 2 hot dogs = 2x

Let the cost of soft drink be y

Cost of 3 soft drinks = 3y

At a cost restaurant the cost for a hot dog and a soft drink is $2.10.

So, x+y=2.10

The cost for two hot dogs and three soft drinks is $5.15

So, 2x+3y=5.15

Plot the lines on the graph:

x+y=2.10 --Purple line

2x+3y=5.15 --- Black Line

Intersection point =(x,y)=(1.15,0.95)

Hence The cost of soft drink is $0.95