`3a=4b`, find `a:b=?`

Options

A. A) 3:2
B. B) 1:1
C. C) 4:3
D. D)3:4

Answer

To solve the equation \(3a = 4b\) and find the ratio \(a:b\), we can follow these steps:

### Step 1: Start with the given equation
We have the equation:
\[ 3a = 4b \]

### Step 2: Rearrange the equation to express \(a\) in terms of \(b\)
To find the ratio \(a:b\), we can rearrange the equation to isolate \(a\):
\[ a = \frac{4b}{3} \]

### Step 3: Express the ratio \(a:b\)
Now, we can express the ratio \(a:b\):
\[ a:b = \frac{4b}{3}:b \]

### Step 4: Simplify the ratio
To simplify the ratio, we can divide both terms by \(b\):
\[ a:b = \frac{4}{3}:1 \]

This can be rewritten as:
\[ a:b = 4:3 \]

### Conclusion
Thus, the ratio \(a:b\) is:
\[ \boxed{4:3} \]

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