do not know how to set formula/
Brady joins band of 44 students.
8 play oboe.
1/2 as may play clarinet as flute. How many play each instument
f=flute
1/2f=clarinet
8+[1/2f+f]=44
=[
I actually think that your equation is correct.
8 +[1/2f + f] = 44
-8______________-8
___[1/2f + f] = 36
__1[1/2f + f] = 36 Distribute to get rid of brackets.
_____1/2f + f = 36
Multiply every term by 2.(Opposite number of 1/2.)
_______f + 2f = 72
Add all like terms on left side.
___________3f = 72
Divide by 3 on both sides.
____________f = 24
In order to find the number for clarinets, you should be able to do this equation:
8 + c + 24 = 44
Now, I think you might be able to do the rest, so please try to do the rest.
I hope this helps! :)
P.S. Once I saw that the problem had my name, I knew I had to try to help.
number who play clarinet --- x
number who play flute ----- 2x , (notice how I avoided fractions?)
2x + x + 8 = 44
3x = 36
x = 12
So 12 play clarinet, 24 play flute and 8 play oboe
To solve this problem, you need to set up a system of equations based on the given information. Let's assign variables to the unknowns:
Let f represent the number of students who play the flute.
Since half as many play the clarinet as the flute, we can assign the variable c to the number of students who play the clarinet.
Finally, let's assign variable o to the number of students who play the oboe.
Now, we can set up the equations based on the given information:
1) There are 44 total students in the band: f + c + o = 44
2) There are 8 students who play the oboe: o = 8
3) Half as many play the clarinet as the flute: c = (1/2)f
(Since it states that 1/2 as many play clarinet as flute, we can represent this relationship using fractions)
Now, you can substitute the value of o from equation 2 into equation 1:
f + c + 8 = 44
Next, substitute the value of c from equation 3 into the modified equation 1:
f + (1/2)f + 8 = 44
Combine like terms:
(3/2)f + 8 = 44
Subtract 8 from both sides:
(3/2)f = 36
To find f, multiply both sides by (2/3):
f = (2/3) * 36
Simplifying the right side of the equation:
f = 24
Now we can determine the other values.
Using equation 2:
o = 8
Using equation 3:
c = (1/2)f
c = (1/2) * 24
c = 12
Therefore, there are 24 students who play the flute, 12 students who play the clarinet, and 8 students who play the oboe.