Two less than three-fourths of a number is 10. What is the number?
A. 10 2/3
B. 13 1/3
C. 15 1/3
D. 16
Please help meh! God bless you :-)
(3/4)x - 2 = 10
(3/4x = 12
x= 12/(3/4)
x = 12 ( 4/3)
x = ?
Let's start by representing the unknown number as "x".
The problem states that two less than three-fourths of a number (x) is equal to 10.
Mathematically, this can be written as:
(3/4)x - 2 = 10
Now, let's solve for x.
Add 2 to both sides of the equation:
(3/4)x = 12
To isolate x, we need to divide both sides of the equation by 3/4, which is the same as multiplying both sides by 4/3:
x = 12 * (4/3)
Simplifying the right side of the equation:
x = 16
So, the correct answer is D. 16.
To find the number, let's break down the given information:
"Two less than three-fourths of a number" can be represented as:
(3/4)x - 2
We know that this expression is equal to 10.
So, we can set up the equation:
(3/4)x - 2 = 10
To solve for x, first, we can add 2 to both sides:
(3/4)x = 12
Next, we can multiply both sides by 4/3 to isolate x:
x = (12) * (4/3)
Now, let's simplify the right side of the equation:
x = 16
Therefore, the number is 16.
The correct answer is D. 16.