When one-third of a number is decreased by 11, the result is 38. Find the number.
A.81
B.108
C.135
D.147
2006-10-24 06:53:59 · 16 answers · asked by Anonymous in Education & Reference ➔ Homework Help
1/3 x - 11 = 38
1/3 x = 49
x = 147
Check: 1/3 (147) - 11 = 49 - 11 = 38
The answer is D.
2006-10-24 06:56:22 · answer #1 · answered by Doctor Why 7 · 0⤊ 1⤋
Let the number is x
1/3 x - 11 = 38
1/3 x = 38 + 11
1/3 x = 49
x = 49 * 3
x = 147
So, The Answer is D. 147
2006-10-24 14:05:27 · answer #2 · answered by Andrew 1 · 0⤊ 1⤋
D.
If
1/3x-11=38 then
38+11=49=1/3x
49X3=147
2006-10-24 13:59:55 · answer #3 · answered by Terrence W 6 · 0⤊ 1⤋
First, it helps to put all of this information into an equation.
1) "one-third of a number" is 1/3x
2) ..."is decreased by 11" is -11
3) ..."the result is 38" is =38
Put it together and you have:
1/3x-11=38
Now you are ready to solve for "x". Start by adding 11 to both sides of the equation
1/3x=38+11
1/3x=49
To find the value of one "x", do the opposite of it's operation; in this case we will multiply by "3"
x=49*3
x=147, the answer is D
Good luck, and keep practicing.
2006-10-24 14:02:20 · answer #4 · answered by Dexter Lives 1 · 0⤊ 1⤋
mathematical representation
1/3x - 11 =38 let the number be x
collecting like terms
1/3x = 38+ 11
1/3x = 49
dividing by the co-efficient of x
x = 49 divided by 1/3
x = 49 x 3 = 147
check 1/3 x 147 -11 = 38 or
1/3 x 147 = 49 .Thanks for helping me refresh my brain
2006-10-24 14:24:03 · answer #5 · answered by wales4u_14 2 · 0⤊ 1⤋
First write out an equation
1/3 x - 11 = 38
Now solve for x
1/3x = 49
Next multiply bothe sides by 3 to get x by itself
x = 147
2006-10-24 13:58:17 · answer #6 · answered by Up_In_Smoke 2 · 0⤊ 1⤋
The number is unknown, so use a letter to represent it.
'x" is commonly used for such purposes so let's give it a whirl.
one-third of a number now means one-third of x or
(1/3) * x
or simply
x/3
decreased by 11 means we just subtract 11 from the previous expression and we now have
x/3 - 11
the result of this is 38, so
x/3 - 11 = 38
solve this simple equation for x (add 11 to both sides, then multiply both sides by 3 to get x=multiple choice answer D)
2006-10-24 14:02:21 · answer #7 · answered by T M 6 · 0⤊ 1⤋
D. 147
x/3-11=38
x/3=49
x=147
2006-10-24 14:00:09 · answer #8 · answered by Sunny_1_ 3 · 0⤊ 1⤋
147 divided by three minus 11 equals 38
2006-10-24 13:58:50 · answer #9 · answered by jazzy_jada02 3 · 0⤊ 1⤋
D because 1/3x -11=38
2006-10-24 13:57:07 · answer #10 · answered by tjnw79 4 · 0⤊ 1⤋