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If the ratio of girls to boys is 2:3 and there are 42 boys .find the number of girls and total number of students? This sum is of ratio and proportion.

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Jun 23, 2018

Answer:

There are #70# students in total, of which #28# are girls.

Explanation:

We begin by setting up an algebraic relationship to model the ratio of girls to boys, with

  • #g =# the number of boys
  • #b =# the number of girls:

So

#1/2 * g = 1/3 * b#

As we know the number of boys, we can plug in that value:

#1/2 * g = #1/3 * 42#

This relationship simplifies to

#1/2 * g = 14#

which in turn simplifies to

#g = 14 * 2 = 28#

Then, to determine the total number of students, we can simply total the number of girls + the number of boys:

#28 + 42 = 70#

Therefore, there are #70# total students, of which #28# are girls and #42# are boys.

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