Question

10 POINTS! 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?
What is the answer? Why?

A) $0.75

B) $1.00

C) $1.25

D) $1.50


Clearly answer this question and explain thoroughly.

Thanks! :D

Answer 1

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 :)

Answer 2

Well, since they both bought the same amount of soft drinks, you can just subtract 8.50 from 13 to find out the cost of 3. 13-8.50=4.50. Then divide 4.50 by three to get the cost to of one! 4.50/3=1.50. It is 1.50$ for one hotdog, so D. Hope this helped!