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The number of boys in ninth grade is 12 less than twice the number of girls There are 51 students in ninth grade How many are girls?
Wiki User
∙ 14y ago
Let's lay out the known information in equations,
where B is the number of boys and G is the number of girls.
Then we express the number B in terms of G, which is twice
as much less 12, or (2G-12)
B + G = 51 , and
B = 2G - 12
Now, replace the B in the first equation with its value from the second equation
(2G - 12) + G = 51
Remove the brackets
2G - 12 + G = 51
Add 12 to both sides
2G + G = 51 + 12
3G = 63
Divide both sides by 3
G = 21
Now, to check if we're right,
Replace G in the first equation
B + 21 = 51
B = 30
If that's right then
30 = 2(21) - 12
30 = 42 - 12
And it is, so we know that there are 21 girls and 30 boys in ninth grade.
Wiki User
∙ 14y ago
Tyler
sc.9102008hen
Let x= number of girls
2x-12 = number of boys
x+(2x-12) = 51
3x-12 = 51
3x = 63
x = 21
CHECK
21+2(21)-12 = 51
21+42-12 = 51
21+30 = 51
There are 21 girls in ninth grade
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The number of boys in ninth grade is 12 less than twice the number of girls There are 51 students in ninth grade How many are girl?
According to the information given, there are 21 girls in the ninth grade.
The number of boys in ninth grade is 12 less than twice the number of girlsthere are 51 astudents in ninth grade how many are girls?
If the number of boys in ninth grade is 12 less than twice the number of girls there are 51 astudents in ninth grade then the number of girls is 21
The number of boys in the ninth grade is 12 less than twice the number of girls there are 51 students in the ninth grade how many are girls?
Let's say the number of girls is x and the number of boys is y. Then the information we have is: There are 51 students, so: x + y = 51 And 12 less than twice the number of girls are boys, so: y = 2x-12 Replace y in the first equation with the second and you get: x + (2x-12) = 51 3x = 63 x = 21 So there are 21 girls in the ninth grade. To check back, that means there should be 30 boys, and that is indeed 12 less than twice the number of girls.
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The number of boys in ninth grade is 12 less than twice the number of girls. There are 51 students in ninth grade. How many are girls?
Let's lay out the known information in equations, where B is the number of boys and G is the number of girls. Then we express the number B in terms of G, which is twice as much less 12, or (2G-12) B + G = 51 , and B = 2G - 12 Now, replace the B in the first equation with its value from the second equation (2G - 12) + G = 51 Remove the brackets 2G - 12 + G = 51 Add 12 to both sides 2G + G = 51 + 12 3G = 63 Divide both sides by 3 G = 21 Now, to check if we're right, Replace G in the first equation B + 21 = 51 B = 30 If that's right then 30 = 2(21) - 12 30 = 42 - 12 And it is, so we know that there are 21 girls and 30 boys in ninth grade.
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