Divide rs.500 between rita and seema such that 1/3 share of rita and 1/2 share of seema are equal?
amount for rita --- x
amount for seema ---- 500-x
(1/3)x = (1/2)(500-x)
each side times 6
2x = 3(500-x)
2x = 1500-3x
5x = 1500
x = 300
rita gets 300, seema gets 200
check:
what is (1/3) of 300 ?
what is (1/2) of 200 ?
300 and 200
Thanks for this answer But I don't understand that why there is write 500-x
To divide Rs. 500 between Rita and Seema such that 1/3 of Rita's share is equal to 1/2 of Seema's share, we need to follow these steps:
Step 1: Let's assume Rita's share to be x.
- Since 1/3 of Rita's share is equal to 1/2 of Seema's share, we can write the equation: (1/3)x = (1/2)(500 - x)
Step 2: Solve the equation for x.
- Multiply both sides of the equation by 6 to eliminate the fractions: 2x = 3(500 - x)
- Distribute on the right side: 2x = 1500 - 3x
- Combine like terms: 5x = 1500
- Divide both sides by 5: x = 300
Step 3: Calculate Rita's share.
- Now that we know x = 300, Rita's share is Rs. 300.
Step 4: Calculate Seema's share.
- Seema's share is the remaining amount after Rita's share is deducted from the total amount. So, Seema's share is Rs. (500 - 300) = Rs. 200.
Therefore, Rita's share is Rs. 300 and Seema's share is Rs. 200.