at a baseball concession stand 3 hot dogs and 2 cups of soda together cost 13.50. two hot dogs and 1 cup.of soda together costs 8 select all statements that are true about this situation.

Question

at a baseball concession stand 3 hot dogs and 2 cups of soda together cost 13.50. two hot dogs and 1 cup.of soda together costs 8 select all statements that are true about this situation.
A. Each hot dog costs 2.50
B. Each cup of soda costs 3.50 
C. The total cost of 3 hot dogs and 2 cups of soda can be modeled by the equations 3x+2y=13.50
D. The total cost of 2 hot dogs and 1 cups of soda can be modeled by the equation 3y=8

Damon · Answer

3 x + 2 y = 13.5
2 x + 1 y = 8
===================

3 x + 2 y = 13.5
4 x + 2 y = 16
-----------------subtract
- x = - 2.5

x = 2.50 for hot dog (A yes)
then
5 + y = 8
y = 3.00 for soda (B no )

C yes, that is what I did
D makes no sense at all