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
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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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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