Question

At an airport restaurant, 2 sodas and 4 hamburgers cost $12.00. An order of 4 sodas and 2 hamburgers costs $9.00. How much does one hamburger cost? Enter your numerical answer no symbols, use decimals as needed.

Answer 1

The cost of one hamburger is $2.50

The cost of the soda will be $1.00

Explanation:

Let the cost of one soda be s

and let the cost of one hamburger be h

Part 1) 2 sodas and 4 hamburgers cost $12.00

2s + 4h = 12

2 (s + 2h) = 12

Dividing the whole equation by 2, we get

s + 2h = 6

s = 6 - 2h (part 1)

Part 2) 4 sodas and 2 hamburgers costs $9.00

4s + 2h = 9 (part 2)

Substituting the value of s from part 1 in part 2, we get

4(6 - 2h) + 2h= 9

24 - 8h + 2h = 9

24 - 6h = 9

-6h = 9 - 24

-6h = -15

h = -15/-6

h = 2.5

So, the cost of one hamburger is $2.50

s = 6 - (2 * 2.50)

s = 6 - 5 = 1

the cost of the soda will be $1.00