5/8 (X+1/2)=100

Answer 1

To solve the equation (5/8)(X + 1/2) = 100, we can start by multiplying both sides of the equation by 8 to eliminate the fraction:

8 * (5/8)(X + 1/2) = 8 * 100

This simplifies to:

5(X + 1/2) = 800

Distribute the 5 on the left side of the equation:

5X + 5/2 = 800

Next, subtract 5/2 from both sides:

5X = 800 - 5/2

To simplify the right side of the equation, we need a common denominator:

5X = 800 - 2/2 - 5/2

This becomes:

5X = 800 - 7/2

To subtract the fractions, we need a common denominator:

5X = 800 - 7/2

-7/2 is equivalent to -3.5, so the equation becomes:

5X = 800 - 3.5

Now, subtract 3.5 from 800:

5X = 796.5

To solve for X, divide both sides of the equation by 5:

X = 796.5 / 5

This simplifies to:

X = 159.3