Question

At a movie theater, one group of people spent $54 on 3 large popcorns and 6 sodas.

Another group spent on $77 on 4 large popcorns and 9 sodas. Determine the cost of a
large popcorn and the cost of a soda

Answer 1

sodas cost $5 and a large popcorn costs $8

create formulas out of the situations making the variable p=popcorn and s=soda

so,

3p + 6s = 54

and

4p + 9s = 77

then choose one variable to solve for

3p = 54 - 6s

divide both sides by 3

p = 18 - 2s

then plug your answer for p into the other equation:

4(18 - 2s) + 9s = 77

finally, solve for s

72 - 8s + 9s = 77

s = 5

if s=5 then

3p + 6(5) = 54

p = 8

Answer 2

Answer: 54

Step-by-step explanation: bc ? you just divid 54 by 3 and 6 then you divid 77 by 4 and 9 then divide them both tada