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If $3A = 2B$ and $4B = 5C$, then $A:C = ?$

1. 5: 8
2. 6: 5
3. 3: 5
4. 5: 6

Correct answer: 5: 6

Solution

From $3A = 2B$, we get $B = \frac{3A}{2}$. From $4B = 5C$, we get $C = \frac{4B}{5} = \frac{4}{5}\cdot\frac{3A}{2} = \frac{6A}{5}$. So $A:C = 5:6$.

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