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25 Sep 2025, 03:26
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Exactly 5 organizations will receive grants totaling exactly $150,000.: Yes
Exactly 1 organization will receive grants totaling exactly $100,000.: Yes
Exactly 2 organizations will receive grants totaling exactly $175,000.: Yes
The city is awarding three types of community grants to its cultural organizations this year, based on attendance growth. The table below details each organization’s current and previous attendance, the absolute change from year to year, and the percentage growth or decline.
• A large attendance grant of $150,000 is awarded to every organization whose current-year attendance exceeds 120,000.
• A growth grant of $100,000 is awarded to the four organizations with the largest increases in attendance (current minus previous).
• An improvement grant of $75,000 is awarded to the two organizations with the largest percentage increases in attendance.
For each of the following statements, select Yes if it is accurate based on the table. Otherwise select No.
• A large attendance grant of $150,000 is awarded to every organization whose current-year attendance exceeds 120,000.
• A growth grant of $100,000 is awarded to the four organizations with the largest increases in attendance (current minus previous).
• An improvement grant of $75,000 is awarded to the two organizations with the largest percentage increases in attendance.
| Organization | Current year | Previous year | Difference | Percent change (%) |
|---|---|---|---|---|
| Org 1 | 128400 | 121200 | 7200 | 5.9 |
| Org 2 | 95000 | 50000 | 45000 | 90.0 |
| Org 3 | 89000 | 95000 | -6000 | -6.3 |
| Org 4 | 134500 | 140800 | -6300 | -4.5 |
| Org 5 | 119800 | 113400 | 6400 | 5.6 |
| Org 6 | 72000 | 52000 | 20000 | 38.5 |
| Org 7 | 131000 | 133500 | -2500 | -1.9 |
| Org 8 | 45000 | 49000 | -4000 | -8.2 |
| Org 9 | 28000 | 25000 | 3000 | 12.0 |
| Org 10 | 31000 | 29000 | 2000 | 6.9 |
| Org 11 | 113000 | 117500 | -4500 | -3.8 |
| Org 12 | 124200 | 118000 | 6200 | 5.3 |
| Org 13 | 98000 | 81000 | 17000 | 21.0 |
| Org 14 | 16000 | 16500 | -500 | -3.0 |
| Org 15 | 128800 | 132000 | -3200 | -2.4 |
| Org 16 | 136500 | 142000 | -5500 | -3.9 |
For each of the following statements, select Yes if it is accurate based on the table. Otherwise select No.
| Yes | No | |
| Exactly 5 organizations will receive grants totaling exactly $150,000. | ||
| Exactly 1 organization will receive grants totaling exactly $100,000. | ||
| Exactly 2 organizations will receive grants totaling exactly $175,000. |
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Official Answer
Exactly 5 organizations will receive grants totaling exactly $150,000.: Yes
Exactly 1 organization will receive grants totaling exactly $100,000.: Yes
Exactly 2 organizations will receive grants totaling exactly $175,000.: Yes
25 Sep 2025, 03:26
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Official Solution:
• Exactly 5 organizations will receive grants totaling exactly $150,000.
Organizations with current-year attendance above 120,000 are Org 1, Org 4, Org 7, Org 12, Org 15, and Org 16. That is 6 organizations. Org 1 also qualifies for a growth grant, so its total is greater than $150,000. The others (Org 4, Org 7, Org 12, Org 15, Org 16) each receive only the large attendance grant of $150,000. That makes 5 organizations.
Answer: Yes
• Exactly 1 organization will receive grants totaling exactly $100,000.
The growth grants go to Org 2, Org 6, Org 13, and Org 1. The improvement grants go to Org 2 and Org 6. The large attendance grants go to Org 1, Org 4, Org 7, Org 12, Org 15, and Org 16. Org 2 receives $100,000 plus $75,000 = $175,000. Org 6 receives $100,000 plus $75,000 = $175,000. Org 1 receives $150,000 plus $100,000 = $250,000. Org 13 receives only $100,000. Thus exactly one organization, Org 13, ends with $100,000.
Answer: Yes
• Exactly 2 organizations will receive grants totaling exactly $175,000.
Org 2 and Org 6 are both in the top four by absolute increase and the top two by percentage increase. Each receives $100,000 plus $75,000 = $175,000. Neither qualifies for the $150,000 grant because both have current-year attendance below 120,000. Thus exactly 2 organizations fit.
Answer: Yes
Correct answer:
Exactly 5 organizations will receive grants totaling exactly $150,000. "Yes"
Exactly 1 organization will receive grants totaling exactly $100,000. "Yes"
Exactly 2 organizations will receive grants totaling exactly $175,000. "Yes"
Bunuel
• Exactly 5 organizations will receive grants totaling exactly $150,000.
Organizations with current-year attendance above 120,000 are Org 1, Org 4, Org 7, Org 12, Org 15, and Org 16. That is 6 organizations. Org 1 also qualifies for a growth grant, so its total is greater than $150,000. The others (Org 4, Org 7, Org 12, Org 15, Org 16) each receive only the large attendance grant of $150,000. That makes 5 organizations.
Answer: Yes
• Exactly 1 organization will receive grants totaling exactly $100,000.
The growth grants go to Org 2, Org 6, Org 13, and Org 1. The improvement grants go to Org 2 and Org 6. The large attendance grants go to Org 1, Org 4, Org 7, Org 12, Org 15, and Org 16. Org 2 receives $100,000 plus $75,000 = $175,000. Org 6 receives $100,000 plus $75,000 = $175,000. Org 1 receives $150,000 plus $100,000 = $250,000. Org 13 receives only $100,000. Thus exactly one organization, Org 13, ends with $100,000.
Answer: Yes
• Exactly 2 organizations will receive grants totaling exactly $175,000.
Org 2 and Org 6 are both in the top four by absolute increase and the top two by percentage increase. Each receives $100,000 plus $75,000 = $175,000. Neither qualifies for the $150,000 grant because both have current-year attendance below 120,000. Thus exactly 2 organizations fit.
Answer: Yes
Correct answer:
Exactly 5 organizations will receive grants totaling exactly $150,000. "Yes"
Exactly 1 organization will receive grants totaling exactly $100,000. "Yes"
Exactly 2 organizations will receive grants totaling exactly $175,000. "Yes"
