The ratio of boys to girls in a church choir is 2:5. There are 9 more girls than boys. How many girls and boys are in the choir?

Respuesta :

Answer:

6 boys, 15 girls

Step-by-step explanation:

I will use B for boys and G for girls

[tex]\frac{B}{G} = \frac{2}{5} \\G = B + 9\\\frac{B}{B+9} =\frac{2}{5}\\[/tex]

Cross multiply

[tex]5B = 2(B + 9)\\5B = 2B + 18\\3B = 18\\B = 6[/tex]

There are 6 boys, so that means that there are 15 girls

A ratio of 6:15 can be simplified by dividing by 3

6/3:15/3 = 2:5

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Answer: 21
Here’s why using the bar modelling method
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