Question

A fruit juice mixture contains \((\frac{2}{5})^{th}\) pure orange juice and the remaining mixture has \((\frac{1}{3})^{rd}\) pure sweet lime juice. What fraction of the fruit juice mixture is pure fruit(orange and sweet lime) juice?

• A. \(\frac{2}{5}\)
• B. \(\frac{3}{5}\)
• C. \(\frac{7}{15}\)
• D. \(\frac{8}{15}\)

Answer 1

The Correct Option is B

Step 1: 

The fraction of orange juice is \( \frac{2}{5} \).

The remaining fraction of the mixture is:

\( 1 - \frac{2}{5} = \frac{3}{5} \),

which consists of sweet lime juice.

Step 2:

The fraction of pure fruit juice is:

\( \frac{2}{5} + \frac{3}{5} = \frac{5}{5} = 1 \).

Conclusion:

The fraction of pure fruit juice is \( \frac{3}{3} = 1 \).