Question

There are 160 people in a grade. The ratio of boys to girls is 3 to 5. Which proportion can you use to find the number x of boys?

Answer 1

I know that x= 60. I don't know what a proportion is. sorry.

Answer 2

The ratio tells partial data of count since some common factor from both parts of the fraction is lost.

The number of boys is 60.

Given that:

• The total number of people in a grade = 160
• The ratio of boys and girls is 3:5

Finding number of boys:

Let the factor that got canceled out be "b".

Then :

Number of boys = 3b

Number of girls = 5b

Total students = 160 = 3b + 5b

$160 = 5b + 3b\\ 8b = 160\\\\ b = \dfrac{160}{8} = 20$

Thus, total boys = 3b = 60

Total girls = 5b =100

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