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?
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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