Answer:
The cost of each drink was $9.25 and the cost of each popcorn was $5.5
Step-by-step explanation:
Let the cost of each drink be d
Let the cost of each popcorn be p
Steven spends $138.50 for 12 drinks and 5 bags of popcorn. This implies that:
12d + 5p = 138.50 _________ (1)
Jennifer buys two drinks and seven bags of popcorn for a total of $57. This implies that:
2d + 7p = 57 ______________(2)
We have two simultaneous equations/
12d + 5p = 138.50 _________ (1)
2d + 7p = 57 ______________(2)
Multiply (2) by 6 and subtract (1) from it:
12d + 42p = 342
- 12d + 5p = 138.50
———————————
37p = 203.5
p = $5.5
Puutting the value of p back in (2):
2d + 7(5.5) = 57
2d + 38.5 = 57
2d = 57 - 38.5 = 18.5
d = 18.5 / 2 = $9.25
The cost of each drink was $9.25 and the cost of each popcorn was $5.5
