The movie theater sells a total of 100 tickets and makes a total of $880. if the theater charges $6 per child’s ticket and $10 per adult’s ticket. how many of each type of ticket did they sell?

They sell children’s 30 tickets and  70 adult’s tickets.

Explanation:

Let the number of child’s tickets=x

Number of adult’s tickets sold=y

Charge of child’s ticket=$6

Total number of tickets sold=100

Charge of adult’s ticket=$10

Total money made by selling tickets=$880

We have to represent the following situations in the form of two equations

Considering the number of tickets sold, we get the equation

x+y=100  

considering the  total money made by selling tickets

we get the equation 6x+10y=880  

we can solve this set of linear equations using

elimination method

x+y=100 (1)

6x+10y=880(2)

(1)*6

6x+6y=600 (3)

6x+10y=880(4)

(4)-(3)

6x+10y-6x-6y=880-600  

4y=280  

y=280/4=70  

substitute the value of in (1)  

x+70=100  

x=30

idk

step-by-step explanation:

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answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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