SOLUTION: math, the number of boys in eighth grade is 16 less than twice the number of girls. there are 68 students in eighth grade. how many are girls.

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Question 502959: math, the number of boys in eighth grade is 16 less than twice the number of girls. there are 68 students in eighth grade. how many are girls.
Answer by Maths68(1474) About Me  (Show Source):
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Let
Total number of Boys = b
Total number of Girls = g
the number of boys is 16 less than twice the number of girls
b=2g-16........(1)
There are 68 students altogether
b + g = 68
g = 68 - b
Put the value of b in above equation
g = 68 - (2g-16)
g = 68 - 2g + 16
g + 2g = 68 + 16
3g = 84
g = 84/3
g = 28
There are 28 girls in grade eight
And
Boys = Total sutudents - Grils
Boys = 68 - 28
Boys = 40