Ronnel spent 1/5 of his money to buy food. He then spent 1/4 of the remaining money to buy magazine. If he had ₱360.00 left in his wallet, how much money did he have at first?

2 answers

Let n be the amount Ronnel started with. After he spent 1/5, he had 4/5 left. Similarly, he had 3/4ths of that amount after more spending. All told, he had:
(4/5 x 3/4)n=360
(3/5)n=360
n=360/(3/5)=600 to start with
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Let the money he had at first be x
Then let be straight forward i.e
1/5x+(1/4×4/5)x=1
Then.1/5x+1/5x=1
Then.2/5x=1
We can say 1-2/5x= 3/5x
Then 3/5x=360
Now x=360×5÷3=600