Question

There are 1170 students in school. The ratio of girls to boys is 23:22. Find the number of each.

Answer 1

572 boys 598 girls

Explanation:

`g- girls\\b- boys\\(g)/(b) =(23)/(22) \\22g=23b\\g=(23)/(22)b\\g+b=1170\\(23)/(22)b+b=1170\\(45)/(22) b=1170 /*(22)/(45) \\b=572\\g=598`

Answer 2

• 598 girls and 52 boys

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Given

• Ratio g : b = 23 : 22,
• Number of students is g + b = 1170.

Let the number of girls is 23x, then number of boys is 22x.

• 23x + 22x = 1170
• 45x = 1170
• x = 1170/45
• x = 26

Then find each number

• g = 23×26 = 598
• b = 22×26 = 572