A community organization had an expense account balance of $825 at the beginning of the summer. The organization spent 1/5 of the initial balance on their first summer event. The o... A community organization had an expense account balance of $825 at the beginning of the summer. The organization spent 1/5 of the initial balance on their first summer event. The organization then spent 2/3 of the remaining balance on their second summer event. Determine the amount remaining in the community organization's expense account after the first summer event and the amount remaining after the second summer events.
Understand the Problem
The question describes a community organization with an initial expense account balance of $825. They spend 1/5 of the initial balance on the first summer event and then spend 2/3 of the remaining balance on their second summer event. We need to determine the amount remaining after the first event (Choice 1) and the amount remaining after the second event (Choice 2).
Answer
Choice 1: $660.00 Choice 2: $220.00
Answer for screen readers
Choice 1: $660.00 Choice 2: $220.00
Steps to Solve
- Calculate the amount spent on the first event
They spent $\frac{1}{5}$ of the initial balance, which was $825.
Amount spent = $\frac{1}{5} \times 825$ Amount spent = $165$
- Calculate the remaining balance after the first event
Remaining balance = Initial balance - Amount spent
Remaining balance = $825 - 165$ Remaining balance = $660$
- Calculate the amount spent on the second event
They spent $\frac{2}{3}$ of the remaining balance, which was $660.
Amount spent = $\frac{2}{3} \times 660$ Amount spent = $440$
- Calculate the remaining balance after the second event
Remaining balance = Balance after first event - Amount spent on second event
Remaining balance = $660 - 440$ Remaining balance = $220$
Choice 1: $660.00 Choice 2: $220.00
More Information
After the first event, the community organization had $660 remaining. After the second event, the community organization had $220 remaining.
Tips
A common mistake is calculating the amount spent on the second event using the initial balance instead of the balance remaining after the first event. Always remember to use the balance after the first event when calculating the expenses for the second event.
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