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If x% of 130 = 39, then find the value o...

If x% of 130 = 39, then find the value of x.

A

60

B

30

C

40

D

50

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \( x\% \) of 130 = 39, we can follow these steps: ### Step 1: Write the equation in mathematical terms We know that \( x\% \) means \( \frac{x}{100} \). Therefore, we can express the equation as: \[ \frac{x}{100} \times 130 = 39 \] ### Step 2: Simplify the equation To simplify, we can multiply both sides of the equation by 100 to eliminate the fraction: \[ x \times 130 = 39 \times 100 \] ### Step 3: Calculate the right side Now, calculate \( 39 \times 100 \): \[ 39 \times 100 = 3900 \] So, the equation now looks like: \[ 130x = 3900 \] ### Step 4: Solve for \( x \) Next, we can isolate \( x \) by dividing both sides by 130: \[ x = \frac{3900}{130} \] ### Step 5: Perform the division Now, perform the division: \[ x = 30 \] ### Conclusion Thus, the value of \( x \) is: \[ \boxed{30} \]
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