Loose change

dave7

New member
Joined
May 17, 2012
Messages
5
Bob had about $ 25 in his wallet. He spent 2/3 of what he had. He is left with as many $ as he had cents in coins , and 3 times as many cents as he had $ . How much did he spend ? Trying to set up the sim eqns is proving tricky . Thanks. All I need is the first line .
 
Hello, dave7!

Please check for typos . . .


Bob had about $ 25 in his wallet. He spent 2/3 of what he had.
He is left with as many $ as he had cents in coins, . ← These two statements
and 3 times as many cents as he had $. . . . . . . . . . . .are contradictory.
How much did he spend?
 
AHEM! I need to "get a life" :idea:

Watch Cricket instead - shoot there is no game on now - well then watch your "hockey" instead....
 
Any more good news?

Yeah, hockey - I mean the "stick-fight" - is almost over. Sanity will prevail again over the air-land (not really with upcoming election) .....
 
Hello again, dave7!

I saw another interpretation . . . but it didn't help.

Bob had about $ 25 in his wallet. .He spent 2/3 of what he had.
He is left with as many $ as he had cents in coins, and 3 times as many cents as he had in $.
How much did he spend?

Suppose "had" refers to his original amounts?

He began with: \(\displaystyle D\) dollars and \(\displaystyle C\) cents.

Later he had: \(\displaystyle \frac{D}{3}\) dollars and \(\displaystyle \frac{C}{3}\) cents.

We are told: .\(\displaystyle \begin{Bmatrix}\frac{D}{3} &=& C \\ \frac{C}{3} &=& 3D \end{Bmatrix}\) . . . . and these are contradictory.
 
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