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Marat540 [252]
3 years ago
10

Centerville has a population of 13000. People under the age of 18 make up 22% of the towns population. How many people under the

age of 18 live in Centerville?
Mathematics
1 answer:
Katen [24]3 years ago
8 0
To solve this proportion, we must use the percent proportion equation, 

a/b=p/100

If we put in our known variables, we get the equation

a/13000=22/100

Net, we use cross products to simplify this equation, or multiplying the numerator of one fraction by the denominator of another fraction and setting them equal to one another.

100a=286000

Finally, we divide both sides by the coefficient of the variable, to get it alone:

a = 2860

Therefore, 2860 people out of the total 13000 people that live in Centerville are under the age of 18.
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Two numbers have a sum of 18, and 4 times the first number minus the second number is equal to 17. What is the smallest number?
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Answer:

The smallest number is 7

Step-by-step explanation:

Using simultaneous equation;

x+y = 18.....(1)

4x-y = 17.....(2)

from equation (1)..

x+y = 18

y = 18-x...(3)

substitute y into equation (2)

4x-y = 17

4x-(18-x) = 17

4x-18+x = 17

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5x = 35

x = 35÷5

x = 7

substitute x into equation (3)

y = 18-x

y = 18-7

y = 11

Therefore; x=7

y=11

11+7=18

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