Let's assume the original amount of money she had is x.
She spent 2/5 of x on food, so she had (1-2/5)x = 3/5*x left.
She spent 1/6 of the remaining money on cosmetics, so she had (1-1/6)(3/5*x) = 5/6*(3/5*x) = 3/6*x = 1/2*x left.
We are given that she had 1300 left, which is 1/2*x, so we can set up the equation:
1/2*x = 1300.
Multiplying both sides of the equation by 2, we get x = 1300 * 2.
x = 2600.
Therefore, she originally had 2600 dollars.
After spending 2/5 of her my money on food and 1/6 on cosmetics a woman was left with 1300 how much money did she have originally
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