benjie spent 1/3 of his money on clothes and 1/4 of the remainder on food. if he had 180 pesos left, how much did he have first?

When Lisa’s age was twice May’s age, Sally’s age was 30. When Sally’s age was twice Lisa’s age, May’s age was 21. Given that Sally’s was the oldest among the three persons, find May’s age when Sally was 62 years old.

To solve this problem, we can break it down into steps:

Step 1: Calculate the amount spent on clothes.
Given that Benjie spent 1/3 of his money on clothes, we can write this as a fraction: 1/3.
To find the amount spent on clothes, we need to multiply the total amount of money Benjie had by 1/3.

Step 2: Calculate the remaining money.
To find the remaining money after buying clothes, we need to subtract the amount spent on clothes from the total amount of money Benjie had.

Step 3: Calculate the amount spent on food.
Given that Benjie spent 1/4 of the remainder on food, we can write this as a fraction: 1/4.
To find the amount spent on food, we need to multiply the remaining money by 1/4.

Step 4: Calculate the final amount of money Benjie had.
To find the final amount of money Benjie had, we need to subtract the amount spent on food from the remaining money.

Let's now go through the calculations:

Step 1:
Let x be the total amount of money Benjie had.
Amount spent on clothes = (1/3)x

Step 2:
Remaining money = x - (1/3)x

Step 3:
Amount spent on food = (1/4)(x - (1/3)x)

Step 4:
Final amount of money Benjie had = Remaining money - Amount spent on food

Now, we can use the given information that Benjie had 180 pesos left to solve for x:

180 = Remaining money - Amount spent on food

Substitute the equations from steps 2 and 3:

180 = (x - (1/3)x) - (1/4)(x - (1/3)x)

Simplify the equation and solve for x.

get updates

original amount --- x

after buying clothes , he has 2/3 x left
spends 1/4 of that, leaving him with
(3/4)(2/3)x

so (3/4)(2/3)x = 180
(1/2) x = 180
x = 360

check:
after spending 1/3 of 360 , he is left with 240
1/4 of that is 60 , so that leaves him with 180