Question

The funds distributed in 1992 for youth development were approximately

• A. $38,000
• B. $170,000
• C. $380,000
• D. $450,000
• E. $1,700,000
• A. $0
• B. $24,000
• C. $40,000
• D. $60,000
• J. $94,000
• A. $10,000
• B. $11,000
• C. $12,000
• D. $13,000
• O. $14,000

Answer 1

The Correct Option is C

Step 1: Understanding the Concept:
This question requires us to calculate a specific amount of money from a pie chart by taking the given percentage of the total funds for that year.
Step 2: Detailed Explanation:
1. Identify the relevant data for 1992.
From the 1992 pie chart, the percentage for Youth Development is 15%.
The total funds distributed in 1992 were $2.54 million, which is $2,540,000.
2. Calculate the amount.
We need to find 15% of $2,540,000.
Amount = \(0.15 \times 2,540,000\)
Let's perform the multiplication:
\[ 0.15 \times 254 = 38.1 \]
So, \(0.15 \times 2,540,000 = 381,000\).
Alternatively, using mental math:
10% of 2,540,000 is 254,000.
5% of 2,540,000 is half of 10%, which is 127,000.
15% = 10% + 5% = 254,000 + 127,000 = $381,000.
3. Compare with the options.
The calculated amount, $381,000, is approximately $380,000.
Step 3: Final Answer:
The funds distributed for youth development in 1992 were approximately $380,000.

Answer 2

Step 1: Understanding the Concept:
To find the increase in the amount, we must first calculate the amount for "Family Support" in each of the two years, and then find the difference between these two amounts. It is important to note that even though the percentage for this category is the same in both years, the total funds are different, so the amount will change.
Step 2: Detailed Explanation:
1. Calculate the amount for Family Support in 1992.
Percentage = 24%.
Total Funds = $2.54 million.
Amount (1992) = \(0.24 \times 2,540,000 = $609,600\).
2. Calculate the amount for Family Support in 1993.
Percentage = 24%.
Total Funds = $2.93 million.
Amount (1993) = \(0.24 \times 2,930,000 = $703,200\).
3. Calculate the increase.
Increase = Amount (1993) - Amount (1992).
Increase = $703,200 - $609,600 = $93,600.
4. Compare with the options.
The calculated increase, $93,600, is closest to $94,000.
Alternative Calculation Method:
Since the percentage (24%) is the same for both years, the increase in funding for this category is simply 24% of the increase in total funds.
Increase in Total Funds = $2.93 million - $2.54 million = $0.39 million.
Increase for Family Support = 24% of $0.39 million.
Increase = \(0.24 \times 390,000\).
\(0.24 \times 390,000 = 93,600\).
This confirms the result of $93,600, which is closest to $94,000.
Step 3: Final Answer:
The increase in the amount of money for family support was closest to $94,000.

Answer 3

Step 1: Understanding the Concept:
This problem requires two steps. First, we must calculate the total amount of money for "Emergency Assistance" in 1993 by taking the given percentage of the total funds. Second, we must calculate the average amount per group by dividing this total by the number of groups.
Step 2: Key Formula or Approach:
\[ \text{Average per group} = \frac{\text{Total Amount for Category}}{\text{Number of Groups}} \]
where,
\[ \text{Total Amount for Category} = (\text{Percentage}) \times (\text{Total Funds}) \]
Step 3: Detailed Explanation:
1. Calculate the total emergency assistance funds for 1993.
Percentage for Emergency Assistance = 19%.
Total Funds in 1993 = $2.93 million = $2,930,000.
Amount = \(0.19 \times 2,930,000\).
\[ 0.19 \times 2,930,000 = $556,700 \]
2. Calculate the average amount per group.
Number of groups = 40.
Average = \(\frac{$556,700}{40}\).
\[ \frac{556,700}{40} = \frac{55,670}{4} = 13,917.5 \]
3. Compare with the options.
The calculated average, $13,917.50, is closest to $14,000.
Step 4: Final Answer:
The average amount distributed per group is closest to $14,000.