Answer:
[tex]Boys = 24[/tex]
[tex]Girls = 18[/tex]
Step-by-step explanation:
Given
[tex]G:B= 3:4[/tex]
[tex]Total = 42[/tex]
Required
Determine the number of boys and girls
We have to convert the ratio to fraction;
Number of girls can be calculated as:
[tex]Girls = \frac{G}{G + B} * Total[/tex]
[tex]Girls = \frac{3}{3 + 4} * 42[/tex]
[tex]Girls = \frac{3}{7} * 42[/tex]
[tex]Girls = 3 * 6[/tex]
[tex]Girls = 18[/tex]
[tex]Boys = Total - Girls[/tex]
[tex]Boys = 42 - 18[/tex]
[tex]Boys = 24[/tex]