After spending 4/9 of her money, she had rs45 left how much did she spend?
To find out how much she spent, we need to calculate the remaining money after she spent 4/9 of her money.
Let's assume her total money was M.
Since she spent 4/9 of her money, the amount remaining is (1 - 4/9) * M.
To calculate the remaining amount, we can simplify the expression as follows: (9/9 - 4/9) * M = (5/9) * M.
Given that the remaining amount is Rs 45, we can set up the equation: (5/9) * M = Rs 45.
Now we can solve for M to find the total money.
Multiplying both sides by 9/5, we have: M = (45 * 9) / 5.
Simplifying, M = 81.
Therefore, her total money was Rs 81.
To find out how much she spent, we need to calculate 4/9 of her total money.
Multiplying the total money (Rs 81) by 4/9, we get: (4/9) * 81 = Rs 36.
So, she spent Rs 36.
To find out how much she spent, we need to subtract the remaining amount from her original total. Let's call the amount of money she originally had "x".
Given that she spent 4/9 of her money, this means she had (1 - 4/9) of her money remaining, which is equal to 5/9 of her original amount.
We are given the remaining amount as Rs45, so we can set up the following equation:
(5/9) * x = Rs45
To solve for "x", we can multiply both sides of the equation by the reciprocal of 5/9, which is 9/5:
(5/9) * x * (9/5) = Rs45 * (9/5)
Simplifying, we have:
x = Rs45 * (9/5) * (9/5)
Calculating the right side of the equation, we get:
x = Rs81
Therefore, she originally had Rs81, and she spent:
x - Rs45 = Rs81 - Rs45 = Rs36
(1-4/9)x = 45
Solve for x, then subtract 45 from that.