The ratio of the number of marbles Zali had to the number of marbles Muthu had was 3:4. Muthu gave half of his marbles to Zali. What was the new ratio of the number of marbles Zali had to the number of marbles Muthu had?
To find the new ratio of the number of marbles Zali had to the number of marbles Muthu had, we can follow these steps:
1. Let's assume that Zali had 3x marbles and Muthu had 4x marbles. This is based on the given ratio of 3:4.
2. Muthu gave half of his marbles to Zali. Half of 4x is 2x, so now Zali has 3x + 2x = 5x marbles, and Muthu has 4x - 2x = 2x marbles.
3. The new ratio of Zali's marbles to Muthu's marbles is now 5x:2x.
4. To simplify the ratio, we can divide both sides by x. This gives us 5:2 as the new ratio.
Therefore, the new ratio of the number of marbles Zali had to the number of marbles Muthu had is 5:2.