SageTheKiid5476 SageTheKiid5476
  • 25-01-2021
  • Mathematics
contestada

The ratio of girls to boys in a certain grade is 9;8. If there are 72 girls in the grade, how many boys are there?

Respuesta :

MrRoyal
MrRoyal MrRoyal
  • 26-01-2021

Answer:

[tex]Boys = 81[/tex]

Step-by-step explanation:

Given

[tex]Boys : Girls = 9 : 8[/tex]

[tex]Girls = 72[/tex]

Required

Find the number of boys

Substitute 72 for girls in [tex]Boys : Girls = 9 : 8[/tex]

[tex]Boys : 72 = 9 : 8[/tex]

Convert ratio to fraction

[tex]\frac{Boys}{72} = \frac{9}{8}[/tex]

Multiply both sides by 72

[tex]72 * \frac{Boys}{72} = \frac{9}{8} * 72[/tex]

[tex]Boys = \frac{9}{8} * 72[/tex]

[tex]Boys = 9*9[/tex]

[tex]Boys = 81[/tex]

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