The movie theater sells child tickets for $1 and adult tickets for $2 during the matinee. regular admission is $4 for a child and $6 for an adult. if the matinee made $41 and regular made $158, how many children and adults went to the movies?

Question

30-10-2017
Mathematics

contestada

The movie theater sells child tickets for $1 and adult tickets for $2 during the matinee. regular admission is $4 for a child and $6 for an adult. if the matinee made $41 and regular made $158, how many children and adults went to the movies?

Respuesta :

Otras preguntas

Find the midpoint of the segment (-9, 8) and (-4, −2)

Alcohol may reduce the feeling of stress by distorting the perception of stressor, but it does not reduce the stress response. 1) True 2) False

A workplace gave an “Employee Culture Survey” in which 500 employees rated their agreement with the statement, “I feel respected by those I work for

Here is my question.

AA batteries come in packs of 4.Last month, Joe used 147 batteries in his remote control drone. How many packs of batteries did he have to open?

Which of the following are NOT true about mitochondria of eukaryotic cells? l. Mitochondria produce energy for the cells. Il. Mitochondria package proteins to d

Directions : Determine whether the following characteristics apply to mitosis, meiosis, or both, by putting into appropriate column. 1. No crossing over of chr

What are the purposes of the underlined feature in this procedural text? Select two options. to draw the reader's attention to the steps of the procedure to set

What is the setting of the ant and the Dove

-100 POINTS!- Write a four- to five-sentence paragraph in which you summarize the following: What about the image did the person find appealing? What is importa

ACCESS MORE EDU ACCESS Universidad de Mexico

tejanoajet tejanoajet · Answer 1 · 2017-10-31T15:03:32+01:00

The were 35 child tickets sold and 3 adult tickets sold.

How did I get this?
First, let's look at what we know.
Matinee
(C)hild ticket = $1
(A)cult ticket = $2

Regular
(C)hild ticket = $4
(A)cult ticket = $6

2. We need to make two equations out of this:
1C + 2A = $41
4C + 6A = $158

The variables represent the amount of tickets, which is the unknown.

3. Process of elimination, multiply the first equation by -3 because we want to cancel out one set of variables.

-3(1C + 2A = 41)

-3C - 6A = -123
4C + 6A = 158
C = 35 child tickets

Substitute the value c into any one of the equations

1(35) + 2(A) = $41
$35 + 2A = $41
Subtract both sides by $35.

2A = $6
Divide by 2
A = 3 adult tickets