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2 years ago

PLEASE HELP WITH THIS

Mathematics

2 answers:

Lady bird [3.3K]2 years ago

5 0

Answer:

$33 - 2x = {x }^{2} + 2x + 1 \\ {x}^{2} + 4x - 32 = 0 \\ x = 8 \\ \\ x = 4$

KengaRu [80]2 years ago

5 0

Answer:

x = 4

Step-by-step explanation:

(33-2x)^(1/2) = x + 1

33-2x = x^2 + 2x + 1 [square both sides]

x^2 + 2x + 1 - 33 +2x = 0

x^2 + 4x - 32 = 0

(x - 4)(x + 8) = 0

x = 4

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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

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Let us assume the number of children attending the movie = x
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
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Then
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Let us first take the equation
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Now we will put the value of x in the equation
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y = 8260 - 6400
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Now we will put the value of y from the above deduction in the equation
x + y = 3200
x + 1860 = 3200
x = 3200 - 1860
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So the number of children going to the movie theater is 1340 and the number of adults going to the movie theater is 1860.

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