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 munber of marbles Muthu had? pls give your answer clearly
If Z has 3 marbles and M has 4 marbles, the ratio of Z/M = 3/4
If M gives half of his marbles to Z, M will be left with 2 and Z will have 5. The ratio Z/M now is 5/2.
To determine the new ratio of the number of marbles Zali had to the number of marbles Muthu had, let's break down the given information step by step.
1. The initial ratio of the number of marbles Zali had to the number of marbles Muthu had was 3:4.
2. Let's assume Zali initially had 3x marbles, and Muthu initially had 4x marbles.
3. Muthu gave half of his marbles, which is (1/2)*4x = 2x marbles, to Zali.
4. After Muthu gives away 2x marbles, Zali will have an additional 2x marbles, making Zali's total number of marbles 3x + 2x = 5x marbles.
5. Muthu will have his remaining 4x marbles minus the 2x marbles he gave away, which leaves him with 2x marbles.
6. Therefore, the new ratio of the number of marbles Zali has to the number of marbles Muthu has is 5x:2x.
7. This ratio can be simplified by dividing both sides by the common factor of x, resulting in the final ratio of 5:2.
So, the new ratio of the number of marbles Zali had to the number of marbles Muthu had is 5:2.
To find the new ratio, we need to determine the number of marbles both Zali and Muthu have after Muthu gives half of his marbles to Zali.
Let's assume Zali initially had 3x marbles and Muthu had 4x marbles. The ratio of Zali's marbles to Muthu's marbles is 3:4.
After Muthu gives half of his marbles to Zali, we can find the new number of marbles they have:
Muthu gives half of his marbles, which is (1/2) * 4x = 2x, to Zali.
So, Zali now has 3x + 2x = 5x marbles.
Muthu now has 4x - 2x = 2x marbles.
The new ratio of the number of marbles Zali has to the number of marbles Muthu has can be expressed as 5x:2x.
Simplifying this ratio by dividing both sides by x, we get the final ratio:
5x/x : 2x/x
= 5:2
Therefore, the new ratio of the number of marbles Zali had to the number of marbles Muthu had is 5:2.