A woman had three old coins: a silver dollar, a quarter, and a dime. Each coin was a little battered and had a piece missing. She found that exactly the same fraction had broken away from each coin.
What fraction of each was missing if the value of the remaining bits of coins was now exactly one dollar in total?
For this puzzle it can be assumed that 1⁄2 a coin is worth 1⁄2 of its value.
Hint
A dollar is 100 cents, a quarter is 25 cents and a dime is 10 cents.
Answer 7⁄27 of each coin was missing.
Reasoning
The original value of the three coins was 100 + 25 + 10 = 135 cents, and the new value was 100 cents.
Therefore, 35⁄135 = 7⁄27 of the original value has been removed.
??
Puzzle 2
The BrainBashers Speed Skating championship was recently completed, however, the computer storing the results suffered from a power cut!
Using the following snippets of information, can you work out who finished where, their ages (18, 21, 24, and 28), and the colour they wore?
The youngest, who didn't wear blue, won the championship. Jesse was three years younger than the person who wore red. Kelly performed well to finish in second place. Logan wore green, and Max was the oldest competitor. The person who wore yellow was younger than Kelly. The person who came last was 21.
Answer
#1 Logan Green 18
#2 Kelly Red 24
#3 Max Blue 28
#4 Jesse Yellow 21
Reasoning
By (1), the 18-year-old won the championship.
By (3), Kelly finished second.
By (6), the person who came last was 21.
#1 18
#2 Kelly
#3
#4 21
By (4), Max was the oldest competitor at 28, and can only have finished third. Which means that Kelly must have been 24.
#1 18
#2 Kelly 24
#3 Max 28
#4 21
By (2), the person who wore Red can only be 21 or 24, so Max can't have worn Red. Max didn't wear Green (4), and didn't wear Yellow (5), so Max must have worn Blue.
#1 18
#2 Kelly 24
#3 Max Blue 28
#4 21
By (5), Kelly didn't wear Yellow, and by (4) didn't wear Green, so must have worn Red.
#1 18
#2 Kelly Red 24
#3 Max Blue 28
#4 21
By (2), Jesse was 21. Which means that Logan was 18.
#1 Logan 18
#2 Kelly Red 24
#3 Max Blue 28
#4 Jesse 21
By (4), Logan wore Green. Which means that Jesse wore Yellow.
#1 Logan Green 18
#2 Kelly Red 24
#3 Max Blue 28
#4 Jesse Yellow 21
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Puzzle 3
My shirt has 5 buttons, my cardigan has 2 buttons, and my suit jacket has no buttons.
