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I like to leave the problems without providing solutions so that readers have a chance to work on the problems without being tempted with an easy solution right away.
Fifty cents is indeed the correct answer. Using some simple algebra shows us why:
The value of the bottle = B.
The value of the wine (W) = B+9.
The total value of the bottle (B) plus the wine (W) is: B+W = 10.
W is equal to B+9 so if we substitute 'W' with 'B+9' we find that the total value is: B+B+9 = 10.
We can now subtract 9 from both sides of the equation: B+B = 1
or
2*B = 1.
Since we only have one bottle (B), not two (2*B) we divide both sides of the equation by 2 and see that the value of the bottle (B) is 0.5.
The Bottle costs $1. Because if the bottle costs $1 and the wine costs $9 more than the bottle then that brings the total up to $10 which is what it costs in the 1st place
8 comments:
The value of the bottle is $0.5 and the value of the wine is $9.5
Any other possible answer?
50cent! Michael beat me to it, though.
Tough one! 50 cents by some comments. I don't know. What is the answer?? This blog would have been excellent if the author would post the answers.
Curious,
I like to leave the problems without providing solutions so that readers have a chance to work on the problems without being tempted with an easy solution right away.
Fifty cents is indeed the correct answer. Using some simple algebra shows us why:
The value of the bottle = B.
The value of the wine (W) = B+9.
The total value of the bottle (B) plus the wine (W) is: B+W = 10.
W is equal to B+9 so if we substitute 'W' with 'B+9' we find that the total value is: B+B+9 = 10.
We can now subtract 9 from both sides of the equation: B+B = 1
or
2*B = 1.
Since we only have one bottle (B), not two (2*B) we divide both sides of the equation by 2 and see that the value of the bottle (B) is 0.5.
50 cents
the value of the bottle could be any number from 1 to 99 cents. Easy
The Bottle costs $1. Because if the bottle costs $1 and the wine costs $9 more than the bottle then that brings the total up to $10 which is what it costs in the 1st place
50c
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