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Triss [41]
3 years ago
8

A Broadway musical was attended by a total of 2,838 people, including men, women, and children. The number of women who attended

the event was 5 more than 3 times the number of children, while the number of men was 3 less than 4 times the number of women. Write an equation to model this situation. Then, use the equation to find the number of men, women, and children who attended the musical.
Mathematics
1 answer:
Yanka [14]3 years ago
6 0
Total= 2838
x= # of children
3x+5= # of women
4(3x+5)-3= # of men

x + (3x+5) + 4(3x+5)-3= 2838
multiply 4 by 3x+5 first

x + (3x+5) + (4*3x) + (4*5) - 3= 2838
combine like terms

4x + 5 + 12x + 20 - 3= 2838
16x + 22= 2838
subtract 22 from both sides

16x= 2816
divide both sides by 16

x= 176

ANSWER:
# Children= x= 176
# Women= 3x+5= 3(176)+5= 533
# Men= 4(3x+5)-3=4(3(176)+5)-3= 2129

CHECK:
#children + #women + #men= 2838
176 + 533 + 2129= 2838
2838= 2838

Hope this helps! :)
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Answer:

300-400

Step-by-step explanation:

The first step is finding the total of the data we have. So, we take 5 + 10 + 15 + 20 + 25 + 15 + 10 which equals 80.

The median is the middle point of all the data. If it's an odd number, you can calculate the median with the equation (n+1) / 2, plugging in the total amount of data for n.

When it's an even number though, there is no one middle point since the data splits evenly in 2, so we have to use 2 equations: n/2 & (n/2) + 1. Then, we find the average of those two data points. (Although, you don't have to do that for this particular question).

When we plug 80 in for n in both of these equations, we get 40 and 41.

To where this is in the question, we have to count up from the bottom of the chart. 1-5 is below 100, 6-15 is 100-200, 16-30 is 200-300, and 31-50 is 300-400.

Since 40 and 41 are between 31 and 50, the answer is 300-400.

Hope this helps! :)

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Julia bought stock at $281/8 per share. The value of each share increased by $65/8. How much is each share of stock now worth?​
const2013 [10]

The worth of the share of stock is $34\frac{3}{4}.

<h3>What is the worth of the stock now?</h3>

A fraction is a non-integer that is made up of a numerator and a denominator. The numerator is the number above and the denominator is the number below.

A mixed fraction is a fraction that is made up of a whole number and a proper fraction.  A proper fraction is a number where the numerator is less than the denominator.

The worth of the stock now = purchase price + increase in the share price

28 1/8 + 6 5/8

34 \frac{1 + 5}{8}

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To learn more about fractions, please check: brainly.com/question/1114498

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