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The number of girls and boys in math class totals 27. how many girls are there if the of girls is 3 more than twice the number boys?

Mar 14, 2020

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The number of girls and boys in math class totals 27. how many girls are there if the of girls is 3 more than twice the number boys?

Let B stand for the number of boys

Let G stand for the number of girls

The total number of students is 27, so                 G + B  =  27

This means that                                                          B  =  27 – G    (equation 1)

You have to add 3 to 2B to equal G, so                      G  =  2B + 3

Substitute the equivalent of B from equation 1            G  =  (2)(27 – G) + 3

G  =  54 – 2G + 3

Add 2G to both sides                                                  3G  =  54 + 3  =  57

Divide both sides by 3                                              3G/3  =  57/3

G  =  19    the number of girls

Remember that total students is 27, so                          B  =  27 – 19

B  =  8       the number of boys

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Mar 14, 2020