What would be my next step? How do I solve this?

Question

The story problem is:

Angie's family goes to the movies and purchases popcorn and drinks to enjoy during the show. The family purchased five drinks and 3 tubs of popcorn to share. Altogether, they spent $32.50 on the concessions. Jason's family also went to the movies. They purchased four drinks and six tubs of popcorn to share. They paid $44.00 for their concessions. How much did each tub of popcorn and each drink cost?

I came up with the equations:

5d+3t=32.40

3d+6t=44.00

I decided to use substitution and so far have this but got stuck:

5d+3t=32.50

1. I subtracted 3t from both sides

This gives me 5d=32.50=3t

Now what?

Answer 1

5d + 3t =32.50

3d +6t = 44

3d/2 + 3t = 22

subtract last equation from the 1st

7d/2 = 10.5

d = (2/7)10.5 =21/7 = $3 for a drink

3t = 22 - 3d2 = 22- (3/2)3 = 22- 9/2 = 22 - 4.5 = 17.5

t = 17.5//3 = $5.83 for a tub of popcorn

5d+3t = 32.5

5(3) + 17.5 = 15+17.5 = 32.5