How much does each item cost?

Question

Mrs. Hopkin, Mrs. Robson, and Ms. Hollister are going to a cardinals game. For their three tickets, nine hot dogs, and none sodas, they paid a total of $177. If a hotdog and soda cost $13, and a soda is $3 more than a hot hot dog, how much does each item cost?

Answer 1

3t + 9h + 9s = 177

 

h + s = 13

 

h = s + 3

 

Substitute:

 

h + s = 13, so, s + 3 + 3 = 13

 

solve for s:

 

s + 6 = 13

 

s = 7

 

therefore, h = 10

 

3t + 9h + 9s = 177, so 3t + 9(10) + 9(7) = 177

 

3t + 90 + 63 = 177

 

3t = 24

 

t = 8

 

Reinsert values to check.