Question

The ratio of boys to girls in the Science Club is 3:5. If there are 60 girls, how many boys are there

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If the three vertices of a rectangle are located on the points (-2,2), (3,2), and (3,7), find the point of the fourth vertex

Answer 1

In ratio 3:5
Lets take x1 as 3
Lets take x2 as 5
Lets take y1 as number of boys as y
Lets take y2 as number of girls as 60

x1:x2 :: y1:y2
Product of mean = Product of extremes
x2*y1 = x1 * y2
5*y = 3*60
5y = 180
y = 180/5 = 36
y2= 36

Therefore, the number of boys is 36 boys.


Second question :
The point of 4th vertex is (-2,7)