Amovie theater sells tickets at different prices. adults are charged $8.50 per ticket, and children are charged $5.50 per ticket. if the theater sells 26 tickets for $194, how many adult tickets and how many child tickets were sold?

9 child tickets and 17 adult tickets were sold.

Step-by-step explanation:

Let the number of adult tickets sold be

and the number of child tickets be .

The theater sold a total number of 26 tickets.

This means that: .....eqn1

The theater made a total sale od $194.

This implies that:

...eqn2

We make the subject in equation 1: ...eqn3

Substitute equation (3) into equation (2)

Expand to get:

Put c=9 into equation (3) to get:

Therefore 9 child tickets and 17 adult tickets were sold.

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