how do i solve?

Question

at the baseball stadium two burgers and two hotdogs cost $15.56 at the same price as three burgers and five hotdogs cost $29.92 what is the price of a burger

Answer 1

You can solve this problem by creating 2 equations with 2 unknowns and then solving them using elimination.

Let's use the variable b represent the cost of one burger and the variable h represent the cost of one hot dog.

Then using the information in the problem , we can write the following two equations:

2b + 2h = $15.56

3b + 5h = $29.92

Using elimination to solve, let's multiply the forst equation by -3 and the second by 2 so that the b terms will be eliminated when we combine the equations:

-6b + (-6h) = -46.68

6b + 10h = 59.84

0 + 4h = 13.16

h = $3.29

The cost of one hot dog is $3.29

Then we know that 2b + 2h = 15.56 and we can substitute $3.29 for the variable , h:

2b + 2(3.29) = 15.56

2b + 6.58 = 15.56

2b + 6.58 - 6.58 = 15.56 - 6.58

2b = 8.98

2b/2 = 8.98/2

b = $4.49

The cost of one burger is $4.49