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?

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

Step-by-step 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;

Next week three people traveled again.

Each ticket was bought = $8.00

Number of tickets bought = 3

Money spend on tickets =

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;

Now Subtracting equation 2 from equation 1 we get;

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

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

problem:

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

f(5/2) = 10/3

i hope this !

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet