Question 980224
I went to the bank to cash a check.
 By mistake, the teller gave me dollars instead of cents and cents instead of dollars, which I did not notice.
 On the way out, I spent a nickel at a gum machine.
 When I returned home, I found I had exactly twice the amount of the check.
 Can you calculate the exact amount of the check I cashed?
:
let a = correct dollar amt
let = correct cents in decimal form
;
100b + .01a - .05 = 2(a + b)
100b + .01a - .05 = 2a + 2b
100b - 2b  = 2a - .01a + .05
98b = 1.99a + .05
b = {{{((1.99a+.05))/98}}}
Using the table feature on my Ti83, found only one solution (y = {{{((1.99x+.05))/98}}})
a = 31, b = .63
Correct amt of check $31.63
You got $63.31 
you spent .05 
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leaving $63.26 Which is twice as much as 31.63