Answer:
Price of a large soft drink = $3
Price of large bucket of popcorn = $4.5
Step-by-step explanation:
Let the cost of one large popcorn = $P
And the cost of one large soft drink = $S
If Daniela, Kieu and Cameron avail the deal of Three Go Free,
3P + 3S = 22.50
P + S = 7.5 -----(1)
Next time they each pay $8 for a ticket, they each get a large soft drink but they share one large bucket of popcorn.
This trip cost them = $37.50
Cost of 3 tickets + Cost of 3 large soft drinks + Cost of one large bucket of popcorn = 37.50
(3 × 8) + (3 × S) + P = 37.5
24 + 3S + P = 37.5
3S + P = 13.5 -----(2)
By subtracting equation (1) from equation (2),
(3S + P) - (P + S) = 13.5 - 7.5
2S = 6
S = $3
From equation (1),
P + 3 = 7.5
P = $4.5
Therefore, price of a large soft drink is $3 and a large bucket of popcorn is $4.5
