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There are 500 people in a meeting. There are 266 more boys in the meeting than girls. 73 of the girls are above 18 and the rest are below.1/4 of the girls below 18 are below 10 and the rest are above.17 of the girls that are above 10 are 14 yrs old. How many are 17 yrs old?​

Sagot :

Answer:

16

Solution:

Let B be the no. of boys and G the no. of girls

B + G = 500

B = 266 + G

Substitute

266 + G + G = 500

266 + 2G = 500

2G = 500 - 266 = 234

G = 234/2 = 117

Let [tex]G_2[/tex] be the girls above 18

[tex]G_2 = 73[/tex]

Let [tex]G_3[/tex] be the girls below 18

[tex]G_3 = 117 - 73 = 44[/tex]

Let [tex]G_4[/tex] be the girls below 10

[tex]G_4 = 1/4(G_3)[/tex]

[tex]G_4 = 1/4(44) = 11[/tex]

Let [tex]G_5[/tex] be the girls above 10

[tex]G_5 = 44 - 11 = 33[/tex]

Let [tex]G_6[/tex] be the girls that are 14 yrs old

[tex]G_6 = 17[/tex]

Let [tex]G_7[/tex] be the girls that are 17 yrs old.

[tex]G_7 = G_5 - G_6 = 33 - 17 = 16[/tex]

Therefore there are 16 girls that are 17 years old

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