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

w

step-by-step explanation:

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is