Jason purchased 2 popcorns and 3 soft drinks for a total of $23. Ann purchased 3 popcorns and 4 soft drinks for a total of $32.5
0. How much does the popcorn cost?
2 answers:
popcorn cost $5.50 and the soft drinks cost $4
Answer:
Popcorn is $5.50; soft drinks are $4.00
Step-by-step explanation:
popcorn=p
soft drinks=s
set up a system of equations for both people
2p+3s=23
3p+4s=32.50
multiply the top equation by 3 and the bottom equation by 2 to get
6p+9s=69
6p+8s=65
subtract the bottom equation from the top equation
(6-6)p +(9-8)s=(69-65)
s=4
plug in 4 for s in either equation
2p+3(4)=23
2p+12=23
2p=11
p=5.50
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