I29-128

Question

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 each organization whose current-year attendance exceeds 120,000.
 
• A growth grant of $100,000 is awarded to each of the four organizations with the largest increases in attendance (current minus previous).
 
• An improvement grant of $75,000 is awarded to each of 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 .

Bunuel · Answer

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"

agrasan · Answer

I like the solution - it’s helpful.

ShreyaMittal1609 · Answer

I like the solution - it’s helpful.

Himag98 · Answer

Should'nt the question stem mention that one org cannot receive two overlapping grants if they qualify?  brunel   bb  - got in wrong because it does not explicitly mention on the full length mock.

Bunuel · Answer

No, the stem should not mention that, because that would actually be  the opposite  of what’s implied here. The organizations  can receive different grants if they qualify , and the wording strongly suggests stacking.

Also, the official solution  explicitly adds grants  (e.g., Org 2 and 6 get $100,000 + $75,000), so this is exactly how the question expects you to read it.

Karym · Answer

I like the solution - it’s helpful.

Vivek1707 · Answer

This is a great question that’s helpful for learning.

Advait01 · Answer

I like the solution - it’s helpful.

zitipiti · Answer

I like the solution - it’s helpful.

Arpit_Manchanda · Answer

Hello  Bunuel , I got confused in one thing for part 2 and 3 of ques:

The ques stem states that

•    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.

As per the bold and underlined part, I assumed that the single grant (total) of $100,000 will be given to 4 organization and similarly a single grant (total) of $ 75,000 will be given to two organizations. Since we do not know the %age of division among the winners, we can not determine the exact amounts.

Thanks in advance.

Bunuel · Answer

Good point. I’ve edited the question to make the wording unambiguous. It now clearly states that each qualifying organization receives the specified grant amount.

I29-128

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My Rewards

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