The gym is 21 years newer than the auditorium. The gym is also one fourth as old as the auditorium. How old is each building?
This is my equation:
x = auditorium
x-21 = gym
1/4x = gym
Therefor..
x - 21 = 1/4x
When I try to solve it, I just can't seem to figure it out. Is this the right equation? Please solve it and explain for me please.
2007-09-17 13:49:03 · 13 answers · asked by Kim 2 in Science & Mathematics ➔ Mathematics
x-21=x/4
Upto this you are right
Now multiply both sides by 4 to eliminate fraction
4(x-21)=4*x/4
4x-84=x
4x-x=84
3x=84
x=84/3=28
Therefore the auditorium is 28 years old and the gym is 7 years old
2007-09-17 13:57:25 · answer #1 · answered by alpha 7 · 1⤊ 0⤋
This is my equation:
x = auditorium
x-21 = gym
1/4x = gym
Therefor..
x - 21 = 1/4x
so far so good
next subtract 1/4X from each side and add 21 to each side
1x-1/4x = 21
3/4 X = 21 multiply both sides by 4
3x = 84 divide both side by 3
x = 84/3 = 28
2007-09-17 20:56:25 · answer #2 · answered by tfloto 6 · 1⤊ 0⤋
You've almost solved it:
x - 21 = (1/4)x
x - (1/4)x = 21
(3/4)x = 21
(1/4)x = 7
x = 28
So the auditorium is 28 and the
gym is 7.
2007-09-17 20:55:38 · answer #3 · answered by jj_hillis 3 · 1⤊ 0⤋
the equation is right to solve:
x-21=1/4x
first add 21 to both sides
x=1/4x+21
then subtract 1/4x from both sides:
3/4x=21
then divide both sides by 3/4
x=28
so the auditorium is 28 years old and the gym is 7
2007-09-17 21:04:28 · answer #4 · answered by soccergirl912005 3 · 0⤊ 0⤋
You've got the right equation.
Try subtracting x from both sides, then factor x from the right side before isolating x.
-21 = x/4 - x
-21 = x (1/4 - 1)
You should be able to finish this...
2007-09-17 20:57:07 · answer #5 · answered by sheramcgyver 2 · 0⤊ 0⤋
x - 21 = 1/4 x
x - 1/4 x = 21
3/4x = 21
x = 21 * 4/3 = 28
2007-09-17 20:53:59 · answer #6 · answered by norman 7 · 1⤊ 0⤋
You mean, x - 21 = x/4. (Think, "which is bigger?")
This will give 28 for age of auditorium and 7 for age of gym.
2007-09-17 20:55:26 · answer #7 · answered by TurtleFromQuebec 5 · 1⤊ 0⤋
x - 1/4x = 21
3/4 x = 21
x = 21 * 4/3 = 28.
2007-09-17 20:54:22 · answer #8 · answered by Jose J 2 · 1⤊ 0⤋
x - 21 = 1/4x
multiply both sides by 4
4x -84 =x
move variable x to one side and the constant to the other
3x=84
divide by 3
x=28
gym = 7
2007-09-17 20:54:58 · answer #9 · answered by xandyone 5 · 0⤊ 0⤋
x - 21 = (1/4) x
4x - 84 = x
3x = 84
x = 28
Auditorium is 28 years
Gym is 7 years
PS Remember to use brackets!
2007-09-18 05:34:17 · answer #10 · answered by Como 7 · 1⤊ 0⤋