Math, asked by Srijansingh237, 19 days ago

at the beginning of 2015, the ratio of the number of adults to the number of children in a neighborhood was 3:2 during the year the number of adults did not change but 4 children were born. at the end of 2015 the ratio of number of adults to children was 4:3. what was the total number of children and adults in the neighborhood at the end of 2015?​

Answers

Answered by girlherecrazy
1

Answer:

at the beginning of 2015, the ratio of the number of adults to the number of children in a neighborhood was 3:2 during the year the number of adults did not change but 4 children were born. at the end of 2015 the ratio of number of adults to children was 4:3. what was the total number of children and adults in the neighborhood at the end of 2015?

Step-by-step explanation:

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Answered by dreamrob
2

The number of adults and children at the end of 2015 are 48 and 36 respectively.

Given:

Ratio of number of adults to children in 2015 = 3 : 2

Number of children born at the end of 2015 = 4

Ratio of number of adults to children at the end of 2015 = 4 : 3

To Find:

Total number of children and adults at the end of 2015.

Solution:

Let the number of adults in 2015 be x and children be y

⇒ x/y = 3/2

2x = 3y

x = 1.5y

At the end of 2015,

x/(y + 4) = 4/3

3x = 4y + 16

substituting x = 1.5y in the above equation we get,

4.5y = 4y + 16

0.5y = 16

y = 16/0.5

y = 32

⇒ x = 1.5 × 32 = 48

and y + 4 = 36

Thus, the number of adults and children at the end of 2015 are 48 and 36 respectively.

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