if you add 3/4 of a number back to the number itself, you get 49. Find the number.
Let _____ = __________________________
Equation: ___________________________
2007-12-26 11:32:32 · 9 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
let no. b x
3/4x+x=49
(3x+4x)/4=49
7x=49*4
x=28
2007-12-26 11:38:15 · answer #1 · answered by The king 3 · 0⤊ 0⤋
Just express the words as mathematical relationships.
"3/4 of a number" can be expressed as
(3/4)x
"Add 3/4 of a number to the number"
(3/4)x + x
"If you add 3/4 of a number to the number, you get 49"
(3/4)x + x = 49
That's the equation.
Now solve for x:
(3/4)x + x = 49
(3/4 + 1)x = 49
1.75x = 49
x = 49/1.75
x = 28
That's the answer.
2007-12-26 19:47:07 · answer #2 · answered by DWRead 7 · 0⤊ 0⤋
Let x = the number
Equation: x + 3/4 = 49
2007-12-26 19:39:35 · answer #3 · answered by Anonymous · 0⤊ 1⤋
Let X = the number we are looking for
X+ 3x/4 =49 the equation
7x/4=49 combine terms
x/4=7 devide by 7
x=28 multiply by 4
check it 28 + 3(28)/4 = 49 yup!
2007-12-26 19:38:47 · answer #4 · answered by saejin 4 · 0⤊ 0⤋
x + (3/4)x = 49 --> x=49*(4/7) = 28
2007-12-26 19:38:08 · answer #5 · answered by tinhnghichtlmt 3 · 0⤊ 0⤋
Let x = the number
x + 3x/4 = 49
The first x represents the original number, while the (3x/4) represents the 3/4 of the original number "added" back in.
7x/4 = 49
7x = 196
x = 28
2007-12-26 19:38:48 · answer #6 · answered by michael_p87 2 · 0⤊ 0⤋
3/4x+x=49
7/4 x=49
7/4(4/7)x= 49 /1 *4/7= 4*7=28
x=28
2007-12-26 20:31:12 · answer #7 · answered by Dave aka Spider Monkey 7 · 0⤊ 0⤋
[04]
Let the number be x
According to the problen,the equation is
3x/4 +x=49
3x+4x=196 [multiplying both sides by 4]
7x=196
x=196/7=28
Therefore the no is 28
2007-12-26 19:39:35 · answer #8 · answered by alpha 7 · 0⤊ 0⤋
let n=a number
equation: 1.75n=49
divide n and 49 by 1.75 to get what n=
n=28
2007-12-26 19:38:48 · answer #9 · answered by ♫♫♫ 2 · 0⤊ 0⤋