Adult tickets to a play cost $22. Tickets for children cost $15. Tickets for a group of 11 people cost $228. Write and solve a system of equations to find how many children and how many adults were in the group. (Define variables, write equations, solve, write a sentence)

Adults= 7

children= 9

Step-by-step explanation:

Step one:

given data

Adult tickets to a play cost $22. Tickets for children cost $15

let adult be x

and children be y

so

22x+15y= 2281

x+y= 112

x= 11-y

Step two:

from 1

22(11-y)+15y= 228

242-22y+15y= 228

collect like terms

-7y= 228-242

7y= 14

divide both sides by 7

x= 2

from

x+y=11

y=11-2

y= 9

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

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step-by-step explanation: