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The ratio of boys to girls in a group is 5:3. If there are 16 more boys than girls, work out how many boys there are.

 Feb 3, 2020
 #1
avatar+8 
+2

Ratio is 5:3

 

5 - 3 = 2

 

16/2 = 8

 

8 * 5 = 40

 Feb 3, 2020
 #2
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[5/8N] =G + 16 [G=B].................(1)

[3/8N] =G....................................(2)

 

Use substitutions to get:

N =64 - Total number of boys and girls.

G =24 - Number of girls.

B =24 + 16 =40 - number of boys.

 Feb 3, 2020
 #3
avatar+21931 
+1

Boys make up   5 / (5+3) = 5/8 of the group    girls make up 3/8

 

5/8 x     =    16 + 3/8 x     (given)

2/8 x = 16

x = 64   in the group          5/8 are boys     5/8 * 64 = 40 boys

 Feb 3, 2020

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