Question

20 points please help!


At a high school football game Jamie buys 6 hot dogs and 4 soft drinks for $13. Amy buys 3 hot dogs and 4 soft drinks for $8.50. What is the price of a hot dog?












A)
$0.75



B)
$1.00



C)
$1.25



D)
$1.50

Answer 1

Lets label hot dogs as 'h' and soft drinks as 's'

6h + 4s = 13 (Equation 1)
3h + 4s = 8.50 (Equation 2)

We can solve by process of elimination.

Subtract equation 1 from equation 2.

We get:

3h = 4.5
h = 1.5

So that means that the hot dog costs $1.50 which is answer choice D.

Answer 2

Lets label hot dogs as 'h' and soft drinks as 'd'

6h + 4d = 13
3h + 4d = 8.50

We can solve by process of elimination.

Subtract the first equation from the second one.

We get:

3h = 4.5

Solve for h

h = 1.5

That means that the hot dog costs $1.50 which is answer choice D.

Hope that helps :)