The school that Ted goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 7 adult tickets and 8 child tickets for a total of $168. The school took in $294 on the second day by selling 14 adult tickets and 13 child tickets. Find the price of an adult ticket AND the price of a child ticket.

Adult= $24

child= $21

Step-by-step explanation:

first let's create an equation for each one.

Day 1: 7x+8y=168

day 2: 14x+13y=294

By doing so we can either graph and get the points for x,y or we can substitute each (x=0) (y=0) and solve manually.

x-int.= (24,0)

y-int.=(0,21)

step-by-step explanation:

given perimeter: 28cm

length: 9cm

atp,

2(l+w)=p of the reactangle

2(9+x)=28

18+2x=28

2x=28-18

x=10/2

x=5

therefore width is 5 cm

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is