This was quite a question for me:
The local baseball team employs at least 3 times as many pitchers as catchers, but never more than 11 players total. Pitches make an average of $45,000, and catchers make an average of $30,000. Which of the following amounts are the possible averages for all the pitchers and catchers, rounded to the nearest dollar?
A.)30,000
B.)35,899
C.)40,375
D.)41,250
E.)41,956
F.)42,273
G.)43,743
H.)45,000
Now for those of you trying to figure this problem out, you can probably guess where I got it from. I'm not looking for the answer just so much as the process of 'getting' to the answer.
For instance, there's a solution that suggests that the only combination of pitchers and catchers that apply are "3 pitchers and 1 catcher and 6 pitchers and 2 catchers." The question to me does not point out or imply anything relating to 4 or 8.(Again, from what I can tell.) Is there a way on how this solution is possible? Better yet, is there a different solution overall?
The local baseball team employs at least 3 times as many pitchers as catchers, but never more than 11 players total. Pitches make an average of $45,000, and catchers make an average of $30,000. Which of the following amounts are the possible averages for all the pitchers and catchers, rounded to the nearest dollar?
A.)30,000
B.)35,899
C.)40,375
D.)41,250
E.)41,956
F.)42,273
G.)43,743
H.)45,000
Now for those of you trying to figure this problem out, you can probably guess where I got it from. I'm not looking for the answer just so much as the process of 'getting' to the answer.
For instance, there's a solution that suggests that the only combination of pitchers and catchers that apply are "3 pitchers and 1 catcher and 6 pitchers and 2 catchers." The question to me does not point out or imply anything relating to 4 or 8.(Again, from what I can tell.) Is there a way on how this solution is possible? Better yet, is there a different solution overall?
