I used 2/5 of my money in one store and 1/3 of what remained in a second store. If I had exactly 56 pesos left how much money did I have at first?
x(1-2/5)(1-1/3) = 56
x = 140
check
spent 2/5 of 140 = 56, leaving 84
spent 1/3 of 84 = 28, leaving 56
To find the amount of money you had at first, we can work backwards using the information provided.
Let's assume you had x amount of money initially.
In the first store, you used 2/5 of your money, which means you have 3/5 of your money left. Therefore, the amount of money left after the first store is (3/5)x.
In the second store, you used 1/3 of what remained after the first store. So, the amount of money left after the second store is (2/3) * (3/5)x, which simplifies to (2/5)x.
Given that you had exactly 56 pesos left, we can set up the following equation:
(2/5)x = 56
To isolate x, we can multiply both sides of the equation by (5/2):
x = 56 * (5/2)
Simplifying, we get:
x = 140
Therefore, you had 140 pesos at first.