Answer :
Sure! Let's break down the problem step-by-step.
Michael had a certain amount of money and made some transactions. We need to determine how much money he had initially, how much he spent, and how much he was left with at each step.
1. Initial Amount:
Michael started with an initial amount of ₹21.
2. First Transaction:
- Michael spent [tex]\(\frac{2}{9}\)[/tex] of his initial amount.
- Calculation:
[tex]\[ \text{Amount spent in first transaction} = \frac{2}{9} \times 21 \][/tex]
- Result of this calculation is ₹4.67.
- After the first transaction, the remaining amount Michael had was:
[tex]\[ \text{Remaining amount after first transaction} = 21 - 4.67 \][/tex]
- Result of this calculation is ₹16.33.
3. Second Transaction:
- Michael then spent [tex]\(\frac{1}{4}\)[/tex] of the remaining amount.
- Calculation:
[tex]\[ \text{Amount spent in second transaction} = \frac{1}{4} \times 16.33 \][/tex]
- Result of this calculation is ₹4.08.
- After the second transaction, the remaining amount Michael had was:
[tex]\[ \text{Remaining amount after second transaction} = 16.33 - 4.08 \][/tex]
- Result of this calculation is ₹12.25.
So, summarizing all the results:
- Amount spent in the first transaction: ₹4.67
- Remaining amount after the first transaction: ₹16.33
- Amount spent in the second transaction: ₹4.08
- Remaining amount after the second transaction: ₹12.25
These calculations provide a comprehensive look at Michael's transactions and his resultant financial position.
Michael had a certain amount of money and made some transactions. We need to determine how much money he had initially, how much he spent, and how much he was left with at each step.
1. Initial Amount:
Michael started with an initial amount of ₹21.
2. First Transaction:
- Michael spent [tex]\(\frac{2}{9}\)[/tex] of his initial amount.
- Calculation:
[tex]\[ \text{Amount spent in first transaction} = \frac{2}{9} \times 21 \][/tex]
- Result of this calculation is ₹4.67.
- After the first transaction, the remaining amount Michael had was:
[tex]\[ \text{Remaining amount after first transaction} = 21 - 4.67 \][/tex]
- Result of this calculation is ₹16.33.
3. Second Transaction:
- Michael then spent [tex]\(\frac{1}{4}\)[/tex] of the remaining amount.
- Calculation:
[tex]\[ \text{Amount spent in second transaction} = \frac{1}{4} \times 16.33 \][/tex]
- Result of this calculation is ₹4.08.
- After the second transaction, the remaining amount Michael had was:
[tex]\[ \text{Remaining amount after second transaction} = 16.33 - 4.08 \][/tex]
- Result of this calculation is ₹12.25.
So, summarizing all the results:
- Amount spent in the first transaction: ₹4.67
- Remaining amount after the first transaction: ₹16.33
- Amount spent in the second transaction: ₹4.08
- Remaining amount after the second transaction: ₹12.25
These calculations provide a comprehensive look at Michael's transactions and his resultant financial position.