Total of 92 students in the school band. There are 16 more girls than boys in the band. How many girls are in the band?
76 girls
Alex is wrong.
Let x = the number of girls
x + x + 16 = 92
2x + 16 = 92
2x = 92 + 16
2x = 108
x = 54
But 54 and 16 doesnt equal 92
Ms Sue probably meant to say
let x = the number of boys
then x+16 is the number of girls
x + x+16 = 92
2x = 92-16
2x=76
x = 38
the number of boys is 38
the number of girls is 54
check:
do they add up to 92 ? YES
are there 16 more girls than boys ? YES
To find the number of girls in the band, we'll need to set up an equation based on the given information. Let's define the number of boys as "b" and the number of girls as "g".
From the problem statement, we know that there are 16 more girls than boys, which can be written as:
g = b + 16 (equation 1)
We also know that the total number of students in the band is 92:
b + g = 92 (equation 2)
With these two equations, we can solve for the number of girls.
Substitute equation 1 into equation 2:
b + (b + 16) = 92
Combine like terms:
2b + 16 = 92
Subtract 16 from both sides:
2b = 92 - 16
2b = 76
Divide both sides by 2:
b = 76 / 2
b = 38
Now that we know the number of boys is 38, we can substitute this value back into equation 1 to find the number of girls:
g = b + 16
g = 38 + 16
g = 54
So, there are 54 girls in the school band.