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

Question

Correctly order the steps used to solve this equation.

Answer 1

To solve the equation \( \frac{5}{8}(x + \frac{1}{2}) = 100 \), the steps can be ordered as follows:

1. Multiply both sides by \( \frac{8}{5} \) to eliminate the fraction: \[ (x + \frac{1}{2}) = 100 \cdot \frac{8}{5} \]

2. Calculate \( 100 \cdot \frac{8}{5} \): \[ 100 \cdot \frac{8}{5} = 160 \]

3. Set the equation after multiplication: \[ x + \frac{1}{2} = 160 \]

4. Subtract \( \frac{1}{2} \) from both sides: \[ x = 160 - \frac{1}{2} \]

5. Calculate \( 160 - \frac{1}{2} \): \[ x = 159.5 \]

So the correct order of steps is: 1 ⇒ 2 ⇒ 3 ⇒ 4 ⇒ 5.