SOLUTION: Good day may you please help me with the following question. Thank you in advance. Three friends A, B and C dine out and decide to split the bill according to what they order. A

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Good day may you please help me with the following question. Thank you in advance. Three friends A, B and C dine out and decide to split the bill according to what they order. A      Log On


   

Question 1170407: Good day may you please help me with the following question. Thank you in advance.
Three friends A, B and C dine out and decide to split the bill according to what they order. A's portion and B's portion of the bill totalled $35, while B's portion of the bill was $5 less than C's portion of the bill. The ratio of A's portion to C's portion of the bill is 4:5. Determine the total bill amount.
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
A        4c/5
B        c-5
C        c

If a%2Fc=4%2F5, then a=4c%2F5.

Given information indicates that 4c%2F5%2B%28c-5%29=35. Solve this for c, and then evaluate the other two quantities.

Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


Given A:C = 4:5, let A's portion be 4x and C's portion be 5x.

Then, since B's portion is $5 less than C's, B's portion is 5x-5.

A's portion plus B's portion totaled $35:

4x%2B%285x-5%29+=+35

Solve for x using basic algebra; then use that value to determine each portion.

Note the portions don't turn out to be whole numbers, either in dollars or in cents; so I suspect the problem is flawed.