Bunuel wrote:
Frank is organizing a charity event in an effort to raise money to build a neighborhood park. The park will cost $1,200 to build. Each person attending the event will donate $300, less $20 for each person who attends the event. Thus, for example, if 3 people attend the event, each person will donate $300 - $20(3) = $240. What is the minimum number of people who must attend the event in order to raise enough money to build the park?
A. 4
B. 5
C. 6
D. 8
E. Frank cannot raise enough money at this charity event to build the park.
Going by answer options seems like an easy way to solve this question
A. 4
Amount per person collected: $300 - $20*4 =$220
Total amount collected: $220 * 4 = $880
Less than $1200
B. 5
Amount per person collected: $300 - $20*5 =$200
Total amount collected: $200 * 5 = $1000
Less than $1200
C. 6
Amount per person collected: $300 - $20*6 =$180
Total amount collected: $180 * 6 = $1080
Less than $1200
D. 8
Amount per person collected: $300 - $20*8 =$140
Total amount collected: $140 * 8 = $1120
Less than $1200
Therefore,
Option E(Frank cannot raise enough money) must be the answer!