gabsperdomo0775
contestada

Help Por favor! Will mark brainliest!

Two groups of people went to see Avatar in IMAX 3‐D. The first group spent $33.00 on two adult and three children tickets. The other group spent $55.00 on five adult and two children tickets. Let x represent the cost of an adult ticket and y represent the cost of a children ticket. Answer each of the questions. Label each answer.

1) What is the equation that represents the first group spending?

2) What is the equation that represents the second group spending?

3) What is the cost for each type of ticket (the adult and the children)? Show your work.

Respuesta :

bluegreen24

Answer: An adult’s ticket costs $9 while a children’s ticket costs $5.

Step-by-step explanation:

1). 2x + 3y = 33

2). 5x + 2y = 55

3). I’m going to use substitution.

Isolate a variable (x):

2x + 3y = 33

2x = -3y + 33

X = (-3y + 33)/2

X = -3/2y + 33/2

Substitute and solve for y:

5x + 2y = 55

5(-3/2y + 33/2) + 2y = 55

-15/2y + 165/2 + 2y = 55

-11/2y = -55/2

Y = 5 <— children’s ticket.

Solve for x:

2x + 3y = 33

2x + 3(5) = 33

2x + 15 = 33

2x = 18

X = 9 <— adult’s ticket.

Check:

5x + 2y = 55

5(9) + 2(5) = 55

45 + 10 = 55

55 = 55

2x + 3y = 33

2(9) + 3(5) = 33

18 + 15 = 33

33 = 33