nicolecadet941
nicolecadet941 nicolecadet941
  • 25-02-2020
  • Mathematics
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there are 5% less girls than boys in a dance club. if there are 2 fewer girls than boys, how many students are there in total?

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cheyenneaquino cheyenneaquino
  • 25-02-2020
There are 78 students in total.



If there are 2 fewer girls than boys, and that is 5% less than boys, then that means:

b - 2 = b - ( b * 0.05 )

"b" is the number of boys

This equation proves:

2 = b * 0.05

Divide both sides of the equation by 0.05 to isolate the variable.

b = 40

There are 40 boys.

40 - 2 = 38, so there must be 38 girls.

5% of 40 (or 40 * 0.05) is 2, which also proves that there are 5% less girls than boys.

40 (boys) + 38 (girls) = 78 students total
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