2005 CEMC Gauss (Grade 7) Problems/Problem 21
Problem
Emily was at a garage sale where the price of every item was reduced by 
of its current price every 
minutes. At 9:00 a.m., the price of a carpet was 
dollars. At 9:15 a.m., the price
was reduced to 
dollars. As soon as the price of the carpet fell below 
dollars, Emily bought it.
At what time did Emily buy the carpet?
9:45 a.m. 
9:15 a.m. 
9:30 a.m. 
10:15 a.m. 
10:00 a.m.
Solution
Since the price of the carpet is reduced by every minutes, then the price is multiplied by 
every minutes.
At 9:15, the price was dollars.
At 9:30, the price fell to 
.
At 9:45, the price fell to 
.
So the price fell below 8 dollars at 9:45 a.m., so Emily bought the carpet at 9:45 a.m. The answer is 
.
See Also
| 2005 CEMC Gauss (Grade 7) (Problems • Answer Key • Resources) | ||
| Preceded by Problem 20 |
Followed by Problem 22 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
| CEMC Gauss (Grade 7) | ||
