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Re: During the 31-day month of May, a tuxedo shop rents
We want to max(# of tuxes sold in may), which translates to max(# of tuxes sold per day). Knowing that the most amount of tuxes sold was 55 and having the constraint that every day be a different amount leads to the following logic: Least # of tuxes sold on any given day = max # of tuxes sold in a d...
- by ezmodest
Sat May 30, 2020 6:27 pm- Forum: Problem Solving
- Topic: During the 31-day month of May, a tuxedo shop rents
- Replies: 5
- Views: 682
Re: Ben and Ann are among 7 contestants from which 4
This is a nice combinatorics problem with a little twist. The question is asking for every combination possible that doesn't include Ben OR Ann & Ben & Ann. Rephrasing like this simplifies the problem, because we now know that out of the 7 contestants we don't want Ben or Ann to even be cons...
- by ezmodest
Sat May 30, 2020 9:37 am- Forum: Problem Solving
- Topic: Ben and Ann are among 7 contestants from which 4
- Replies: 2
- Views: 594
Re: King School has an enrollment of 900 students. The school day
My solution: At any point in time, only 5/6 of the teachers are teaching a class, but every student is in class. Therefore we know the following: Total Student Body / Students per Class = # of teachers currently teaching 900 / 30 = 30 teachers currently teaching If we know that only 5/6 of teachers ...
- by ezmodest
Sat May 30, 2020 9:30 am- Forum: Problem Solving
- Topic: King School has an enrollment of 900 students. The school day
- Replies: 2
- Views: 637
A $240 interest-free loan is to be paid back in equal monthly payments. If a total of...
Problem Solving
Re: A $240 interest-free loan is to be paid back in equal monthly payments. If a total of...
My solution:
If 2.5% is being paid back semi annually then we can find the amount using the following:
10% of $240 = $24
$24*2.5 = $60
$60/10 = $6 (equivalent to 2.5%) per 6 months
This is equivalent to $1 per month
Therefore we pay $21 in 21 months
- by ezmodest
Sat May 30, 2020 9:23 am- Forum: Problem Solving
- Topic: A $240 interest-free loan is to be paid back in equal monthly payments. If a total of...
- Replies: 2
- Views: 637
At megalomania Industries, factory workers were paid $20 per hourin 1990 and $10 per hour in 2000. The CEO of...
Problem Solving
Re: At megalomania Industries, factory workers were paid $20 per hourin 1990 and $10 per hour in 2000. The CEO of...
This is my approach:
Worker's Hourly:
1990: $20
2000: $10
% Change = 10/20 -1 = -50%
However we only care about the absolute change = 50%
CEO Salary:
1990: $5mm
2000: $50mm
% Change = 50/5 - 1 = 900%
Finally: % grater CEO % change than Worker's % change:
900/50 - 1 = 1700%
Answer: D
- by ezmodest
Sat May 30, 2020 9:17 am- Forum: Problem Solving
- Topic: At megalomania Industries, factory workers were paid $20 per hourin 1990 and $10 per hour in 2000. The CEO of...
- Replies: 1
- Views: 389
Re: Eleven years ago Tina was half as old as Ike will be in 4 years.
This is how I approached it: m = Ike's age t = tina's age The statement says that eleven years ago Tina was half of Ike's age four years from now. If you're having a hard time understanding this, just imagine that eleven years ago Tina was 10 and four years from now Ike is 20. Therefore we know that...
- by ezmodest
Sat May 30, 2020 9:10 am- Forum: Problem Solving
- Topic: Eleven years ago Tina was half as old as Ike will be in 4 years.
- Replies: 4
- Views: 571