Question

Three people spend $22.50 on large popcorns and soft drinks. They go back the next week and each pay $8.00 for each ticket, they each get a large soft drink, but they share one large bucket of popcorn. This return trip costs them a total of $37.50. How much is each large soft drink and each large bucket of popcorn?

Answer 1

Cost of each large soft drink is $3.00 and Cost of each Large bucket of popcorn is $4.50.

Explanation:

Let the Cost of each large soft drink be x.

Also Let the Cost of each Large bucket of popcorn be y.

Number of people = 3

Money Spend on popcorn and soft drink = $22.50

Hence we can say that;

`3x+3y=22.50 \ \ \ \ equation \ 1`

Next week three people traveled again.

Each ticket was bought = $8.00

Number of tickets bought = 3

Money spend on tickets =
`8*3 = \$24`

Total return trip = $37.50

Also they each get a large soft drink, but they share one large bucket of popcorn

Cost of Soft drink = 3x

Cost of popcorn = y

Now Total return trip is equal to sum of Money spend on tickets and Cost of soft drink and Cost of popcorn.

Hence equation can be framed as;

`24+3x+y=37.50\\3x+y=37.50-24\\3x+y = 13.50 \ \ \ \ eqaution \ 2`

Now Subtracting equation 2 from equation 1 we get;

`(3x+3y)-(3x+y)=22.50-13.50\\\\3x+3y-3x-y=9\\\\2y= 9\\\\y=(9)/(2)=\$4.50`

Now substituting the value of y in equation 1 we get;

`3x+3y=22.50\\\\3x+3*4.50=22.50\\\\3x+13.50=22.50\\\\3x=22.50-13.50\\\\3x= 9\\\\x=(9)/(3)=\$3.00`

Hence Cost of each large soft drink is $3.00 and Cost of each Large bucket of popcorn is $4.50.