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3 years ago

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I need help on this question

1 answer:

Lorico [155]3 years ago

3 0

THE ANSWER X=11

HOPE IT HELP

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A movie theater has a seating capacity of 329. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults.

kipiarov [429]

Answer:

170 children

74 students

85 adults

Step-by-step explanation:

Given

Let:

$C = Children; S = Students; A = Adults$

For the capacity, we have:

$C + S + A = 329$

For the tickets sold, we have:

$5C + 7S + 12A = 2388$

Half as many as adults are children implies that:

$A = \frac{C}{2}$

Required

Solve for A, C and S

The equations to solve are:

$C + S + A = 329$ -- (1)

$5C + 7S + 12A = 2388$ -- (2)

$A = \frac{C}{2}$ -- (3)

Make C the subject in (3)

$C = 2A$

Substitute $C = 2A$ in (1) and (2)

$C + S + A = 329$ -- (1)

$2A + S + A = 329$

$3A + S = 329$

Make S the subject

$S = 329 - 3A$

$5C + 7S + 12A = 2388$ -- (2)

$5*2A + 7S + 12A = 2388$

$10A + 7S + 12A = 2388$

$7S + 22A = 2388$

Substitute $S = 329 - 3A$

$7(329 - 3A) + 22A = 2388$

$2303 - 21A + 22A = 2388$

$2303 +A = 2388$

Solve for A

$A = 2388 - 2303$

$A = 85$

Recall that: $C = 2A$

$C = 2 * 85$

$C = 170$

Recall that: $S = 329 - 3A$

$S = 329 - 3 * 85$

$S = 329 - 255$

$S = 74$

Hence, the result is:

$C = 170$

$S = 74$

$A = 85$

8 0

3 years ago

What is w for -3w = -7(w+1)

Alchen [17]

-3w= -7w-7 =
-3w+7w = -7w+7w - 7 =
4w= -7
4w/4 = -7/4 =
w = -7/4

3 0

3 years ago

Find a point-slope form for the line with slope 1 over 5 and passing through the point -8, -7

Whitepunk [10]

Answer:

(1/5)x-5.4=y

Step-by-step explanation:

mx+b=y

m=(1/5)

(-8,-7)=(x,y)

(1/5)(-8)+b=(-7)

-1.6+b=-7

b=-5.4

(1/5)x-5.4=y

6 0

3 years ago

Which graph correctly compares the volumes, V, of rectangular pyramids with different heights, h, when their bases all have the

VARVARA [1.3K]

Answer:the correct answer is D

Step-by-step explanation:

Hope this help but can you tell me what your answer?

8 0

3 years ago

Read 2 more answers

Maylin and Nina are making fruit baskets. They have 36 apples, 27 bananas, and 18 oranges. They want each basket to contain the

iogann1982 [59]

Answer:

9 per basket and 9 baskets

Step-by-step explanation:

36/9 = 4 27/9=3 18/9=2

5 0

3 years ago