bhagat has rs.150 in his piggy bank and plans to add rs.2 each week.Laxmi has rs.200 in her piggy bank and plans to add rs.6 each week.After how many weeks will laxmi have twice as much money as bhagat?
If x weeks have passed, we want to find when
2(150 + 2x) = 200 + 6x
x = 50
check:
150 + 2(50) = 250
200 + 6(50) = 500 = 2*250
To find out after how many weeks Laxmi will have twice as much money as Bhagat, we need to set up an equation and solve it step by step.
Let's assume that after x weeks, Laxmi will have twice as much money as Bhagat.
So, at the end of x weeks, Bhagat will have:
Money Bhagat has initially (Rs.150) + Money added each week (Rs.2/week) * Number of weeks (x) = 150 + 2x
Similarly, at the end of x weeks, Laxmi will have:
Money Laxmi has initially (Rs.200) + Money added each week (Rs.6/week) * Number of weeks (x) = 200 + 6x
According to the problem, Laxmi will have twice as much money:
200 + 6x = 2(150 + 2x)
Now, let's solve this equation to find the value of x.
200 + 6x = 300 + 4x
Combine like terms:
6x - 4x = 300 - 200
2x = 100
Divide both sides by 2:
x = 50
Therefore, after 50 weeks, Laxmi will have twice as much money as Bhagat.