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morganwendel126
23.09.2019 •
Mathematics
Admission for a movie is $8 for children and $12 for adults. on a certain day, 3200 people attend the movie theater and $33,040 is collected.
how many children and how many adults attended the movies?
children
adults
Solved
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Ответ:
Let us also assume the number of adults attending the movie = y
Cost of admission for a children in the movie = $8
Cost of admission of an adult in the movie = $12
Number of people going to the movie on a certain day = 3200
Total amount collected from the movie theater = $33040
Then
x + y = 3200
And
8x + 12y = 33040
2x + 3y = 8260
Let us first take the equation
x + y = 3200
x = 3200 - y
Now we will put the value of x in the equation
2x + 3y = 8260
2(3200 - y) + 3y = 8260
6400 - 2y + 3y = 8260
y = 8260 - 6400
= 1860
Now we will put the value of y from the above deduction in the equation
x + y = 3200
x + 1860 = 3200
x = 3200 - 1860
= 1340
So the number of children going to the movie theater is 1340 and the number of adults going to the movie theater is 1860.
Ответ:
C. $4,460
Step-by-step explanation:
The monthly profit made, is a function of the price of each sign, x. Given the function that represents that models the monthly profit,
, if the price, x, is $20, the monthly profit can be solved by simply plugging in the vakue if x into the given function equation as shown below:
The monthly profit is $4,460.