2. James spends 10% of his money for movie; he also spends 20% of his money for his lunch. Then he buys $20 in his office supplies. In the next day, he spends $10 for his breakfast. Now he leaves 40% of his original money. How much does he save originally?
please show work.
0.1n + 0.2n + 20 + 10 + 0.4n = n
30 = n - 0.7n
30 = 0.3n
100 = n
To find out how much James saves originally, we need to follow these steps:
Step 1: Calculate the total amount of money spent on movie and lunch.
- James spends 10% of his money on movies and 20% on lunch.
- Since the total percentage spent is 10% + 20% = 30%, the remaining percentage is 100% - 30% = 70%.
Step 2: Calculate the amount of money James spends on office supplies and breakfast.
- James spends $20 on office supplies and $10 on breakfast.
- The total amount spent is $20 + $10 = $30.
Step 3: Calculate the amount of money saved by James.
- If the remaining percentage of original money is 40%, then James saves 40% of his original money.
- This means the amount saved is 40% of the original money.
To find out the original money, we can set up the equation:
0.4 * Original Money = Amount Saved
Solving for Original Money:
Original Money = Amount Saved / 0.4
Step 4: Substitute the value of Amount Saved and calculate.
Original Money = ($30 / 0.4) = $75
Therefore, James originally had $75.