Comprehension
Distribution of funds by charity
Question: 1
The funds distributed in 1992 for youth development were approximately
The funds distributed in 1992 for youth development were approximately
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When the question asks for an "approximate" value, you can often round the numbers to make the calculation easier. For instance, calculate 15% of $2.5 million: \(0.15 \times 2.5 = 0.375\) million, which is $375,000. This value is very close to option (C).
Updated On: Oct 1, 2025
- $38,000
- $170,000
- $380,000
- $450,000
- $1,700,000
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The Correct Option is C
Solution and Explanation
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.
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.
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Question: 2
The increase in the amount of money distributed for family support from 1992 to 1993 was closest to which of the following?
The increase in the amount of money distributed for family support from 1992 to 1993 was closest to which of the following?
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When a percentage for a category stays the same but the total changes, you can find the change in the amount for that category by simply taking that percentage of the change in the total. This can be a much faster calculation.
Updated On: Oct 1, 2025
- $0
- $24,000
- $40,000
- $60,000
- $94,000
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The Correct Option is
Solution and Explanation
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.
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.
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Question: 3
If all of the emergency assistance funds in 1993 were distributed among 40 groups, which of the following is closest to the average (arithmetic mean) amount distributed per group?
If all of the emergency assistance funds in 1993 were distributed among 40 groups, which of the following is closest to the average (arithmetic mean) amount distributed per group?
Show Hint
For questions asking for the "closest" value, you can use estimation. Total funds are almost $3 million. 19% is almost 20%. So, emergency funds are about 20% of $3 million, which is $600,000. Then, $600,000 / 40 groups = $60,000 / 4 = $15,000. This estimate is very close to $14,000, making it the most likely answer.
Updated On: Oct 1, 2025
- $10,000
- $11,000
- $12,000
- $13,000
- $14,000
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The Correct Option is
Solution and Explanation
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.
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.
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