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If x/(7)=12/(28), then x is...

If `x/(7)=12/(28)`, then x is

A

7

B

6

C

3

D

1

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \( \frac{x}{7} = \frac{12}{28} \), we can follow these steps: ### Step 1: Cross Multiply We start by cross multiplying the fractions. This means we will multiply the numerator of one fraction by the denominator of the other fraction. \[ x \cdot 28 = 12 \cdot 7 \] ### Step 2: Simplify the Right Side Now, we calculate the right side of the equation: \[ 12 \cdot 7 = 84 \] So, we have: \[ 28x = 84 \] ### Step 3: Solve for x Next, we need to isolate \( x \). We do this by dividing both sides of the equation by 28: \[ x = \frac{84}{28} \] ### Step 4: Simplify the Fraction Now, we simplify \( \frac{84}{28} \): \[ 84 \div 28 = 3 \] Thus, we find: \[ x = 3 \] ### Final Answer The value of \( x \) is \( 3 \). ---
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