Respuesta :

texaschic101
b + g = 120
b = 3/5g

3/5g + 5/5g = 120
8/5g = 120
g = 120 / (8/5)
g = 120 * 5/8
g = 600/8 = 75 <== 75 girls

b = 3/5g
b = 3/5(75)
b = 225/5 = 45 <=== 45 boys
Let the number of girls be x.

Number of boys = [tex] \frac{3}{5}x [/tex]

Number of children = 120

[tex]x + \frac{3}{5}x = 120[/tex]

[tex] \frac{5x + 3x}{5} = 120[/tex]

[tex]8x = 600 [/tex]

[tex]x = \frac{600}{8} = \frac{300}{4} = \frac{150}{2} = 75[/tex]

Hence, the number of boys are [tex] \frac{3}{5}*75 = 3*15 = 45[/tex] boys.

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