Last year, one fourth of the students in your class played an ninstrument.
This year,
6
students
joined
the
class.
Four
of the
new
students
play
an
instrument.
Now,
one
third
of
the
students
play
an
instrument.
How
many
students
are in
your
class
now
18, 24, 30, or 48?
Original number of students = x
original number playing = x/4
this year:
number of students = x+6
number playing = x/4 + 4
x/4 + 4 = (1/3)(x+6)
times 12
3x + 48 = 4x + 24
-x = -24
x = 24
So now there are x+6 or 30 students in the class
Thank you so much!
KOWALSKI, ANALASIYSSFJSIOJF.
To find out how many students are in your class now, we need to solve the problem step by step.
First, we know that last year, one fourth of the students played an instrument. We don't know the total number of students last year, so let's represent it as "x". So, we can say that (1/4)x students played an instrument.
This year, 6 new students joined the class, so the total number of students in the class this year is x + 6.
Out of the 6 new students, 4 play an instrument. So, we now have 4 students who play an instrument.
We are given that now, one third of the students play an instrument. So, we can write this as (1/3)(x + 6) = 4.
To solve this equation, we can multiply both sides by 3 to get rid of the fraction: x + 6 = 12.
Next, we subtract 6 from both sides of the equation to isolate "x": x = 6.
Therefore, the total number of students in your class now is x + 6 = 6 + 6 = 12.
So, there are 12 students in your class now.