Question 1169281
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Use the given ratio A:C = 4:5 to define<br>
4x = A's portion
5x = C's portion<br>
Then, since A's portion plus B's portion is $35,<br>
35-4x = B's portion<br>
Also, B's portion is $5 less than C's:<br>
5x-5 = B's portion<br>
Set the two expressions for B's share equal to each other:<br>
{{{35-4x = 5x-5}}}
{{{40 = 9x}}}
{{{x = 40/9}}}<br>
The total amount of the bill in dollars is
{{{4x+5x+(35-4x) = 5x+35 = 200/9+35}}}<br>
Since that does not represent a whole number, either in dollars or in cents, I suspect the statement of the problem is incorrect.<br>