Question

Three hamburgers and two hotdogs cost $13. Two hamburgers and four hotdogs cost $14 what is the cost of one hamburger? What is the cost of one hotdog?
Any help?

Answer 1

Step-by-step explanation:

Let's take cost of 1 hamburger as h and the cost of 1 hot dog as d.

Therefore, we can form the equations:

3h + 2d = 13 and

2h + 4d = 14

2(h +2d) = 14

h + 2d = 7

h = 7 - 2d

By substituting this to the first equation, we get:

3(7 - 2d) + 2d = 13

21 - 4d = 13

4d = 8

d = $2

h = 7 - 2(2)

h = $3

Hence 1 hot dog costs $2 and 1 hamburger costs $3