The number of boys and girls in a school is 1168 and 1095 respectively. Express in the simplest form, the ratio of the number of boys to the number of girls.

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15:16

2:75

16:15

None of these

answer is C.

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Detailed Solution

Concept- Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other. Two categories can be used to categorize ratios. Part to whole ratio is one, and part to part ratio is the other. The part-to-part ratio shows the relationship between two separate entities or groupings.
We will break the number of boys and the number of girls into their prime factors, then the ratio of uncommon prime factors will be the simplest form. Prime factors of the number of boys =1168=222273
Prime factors of the number of girls =1095=3573
The ratio is the number of boys to the number of girls, we get
number of boys number of girls=11681095
2222733573=222235
number of boys number of girls=1615
The ratio form of boys to girls is 16:15
Hence, the correct answer is option 3) 16:15

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