The quotient of a number and 3 is the same as the difference of the number doubled and 5. What is the number?
2006-12-12 06:00:53 · 5 answers · asked by JJS 1 in Science & Mathematics ➔ Mathematics
Break it down. Quotient refers to division, so
x / 3
Next, the difference means subtraction, but not until you double the number, which means multiply it by two, so
2x-5
Now make these two equal to each other,
x/3=2x-5
Multiply both sides by three to get rid of the denominator under x,
3(x/3) = (2x-5)3
This multiplies out to the following
x = 6x - 15
Now, put all the x's on one side, and the numbers on the other side by doing this,
x = 6x - 15
+15 -x -x +15
This leaves
15 = 5x
Now all we have to do is divide the 5 off of the x, and we have our answer
15 = 5x
/5 /5
3 = x
2006-12-12 06:17:14 · answer #1 · answered by rawlings12345 4 · 0⤊ 0⤋
The quotient of a number and 3 is the same as the difference of the number doubled and 5.
n/3 = 2n - 5
Solve for n
2006-12-12 06:04:30 · answer #2 · answered by Anonymous · 1⤊ 0⤋
Let the number be n,
The quotient of a number and 3 , that is n/3 is the same as the difference of the number doubled and 5, that is 2n-5
Hence n/3=2n-5
or n=3(2n-5)
or n=6n-15
or 0=5n-15
or 5n=15
or n=3
The Answer is 3.
Check that the qoutient of 3 and 3 is 1. Again difference of double of 3 ie 6 and 5 is again 1
2006-12-12 06:14:24 · answer #3 · answered by Mahtab 1 · 0⤊ 0⤋
Set it up
x/3=2x-5
x=6x-15
5x=15
x=3
2006-12-12 06:08:43 · answer #4 · answered by hls 6 · 1⤊ 0⤋
x/3 = 2x - 5
x = 6x - 15
5x = 15
x = 3
₢
2006-12-12 06:11:04 · answer #5 · answered by Luiz S 7 · 0⤊ 0⤋