The chess club had 14 members at the beginning of the year and the membership increased by 50% by the end of the year?
a: how many members were there at the end of the year?
b: By the end of the next year there were only 14 members. What percent decrease was this?
1.5 * 14 = 21
b.
21 - 14 = 7
7/21 = 0.33333 = 33.3%
a) 1.50*14=?
b) 14=21(1+i)
2/3= 1+i
i=-1/3 or 33.3 percent decrease
a: To find the number of members at the end of the year, we need to calculate the 50% increase.
Step 1: Calculate the increase:
50% of 14 = 0.5 * 14 = 7
Step 2: Add the increase to the initial number of members:
14 + 7 = 21
Therefore, there were 21 members at the end of the year.
b: To find the percent decrease, we need to calculate the difference between the number of members at the end of the next year and the previous year, and then calculate the percentage decrease.
Step 1: Calculate the decrease:
21 - 14 = 7
Step 2: Calculate the percentage:
(7 / 21) * 100 = 33.33%
Therefore, there was a 33.33% decrease in membership at the end of the next year.
To answer both parts of the question, we need to calculate the increase in membership and then the decrease.
a) To calculate the increase in membership:
1. Start with the initial number of members: 14
2. Calculate 50% of the initial number of members: 14 * 0.5 = 7
3. Add the increase to the initial number of members: 14 + 7 = 21
Therefore, at the end of the year, there were 21 members in the chess club.
b) To calculate the percent decrease in membership:
1. Start with the number of members at the beginning of the next year: 21
2. Calculate the difference between the initial number of members and the final number of members: 21 - 14 = 7
3. Calculate the percent decrease by using the formula: (Decrease ÷ Initial Number) × 100%
- Decrease = 7
- Initial Number = 21
(7 ÷ 21) × 100% = 33.33%
Therefore, there was a 33.33% decrease in membership by the end of the next year.