Question 1187265: Hi
Brian had a sum of money. He spent an equal amount of money each day. After 6 days he had 3/5 of his money left. 3 days later he had 360 dollars left. How much did he have at first.
Thanks
Answer by ikleyn(52884)   (Show Source):
You can put this solution on YOUR website! .
Brian had a sum of money. He spent an equal amount of money each day.
After 6 days he had 3/5 of his money left. 3 days later he had 360 dollars left.
How much did he have at first.
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From the condition, you see that Brian spent 1 - 3/5 = 2/5 of his money in 6 day.
Keeping the same rate, in the next 3 days he will spend half of 2/5, which is 1/5.
So, in 6 + 3 = 9 days Brian will spend 2/5 + 1/5 = 3/5 of his money.
Hence, after 9 days Brian will still have 1- 3/5 = 2/5 of his money left.
Thus 2/5 of his money is 360 dollars.
Hence, 1/5 of his money is half of 360 dollars, i.e. 180 dollars.
It means that Brian had initially 5 times as much as 180 dollars, i.e. 900 dollars. ANSWER
Solved (mentally, by reasoning, without using equations).
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