SOLUTION: Good day I need help with the following question : 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

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Question 1169281: Good day I need help with the following question :
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 ankor@dixie-net.com, greenestamps:
Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website!
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 totaled $35,
a + b = 35
while B’s portion of the bill was $5 less than C’s portion of the bill.
b = c - 5
The ratio of A’s portion to C’s portion of the bill is 4:5.
=
cross multiply
5a = 4c
a = c
a = .8c
;
In the first equation, replace a with .8c and b with (c-5)
.8c + (c-5) = 35
1.8c = 35 + 5
1.8c = 40
c = 40/1.8
c = $22.22
:
Determine the total bill amount.
add to a + b = 35
35 + 22.22 = $57.22 is the total bill

Answer by greenestamps(13200) (Show Source):
You can put this solution on YOUR website!

Use the given ratio A:C = 4:5 to define

4x = A's portion
5x = C's portion

Then, since A's portion plus B's portion is $35,

35-4x = B's portion

Also, B's portion is $5 less than C's:

5x-5 = B's portion

Set the two expressions for B's share equal to each other:

The total amount of the bill in dollars is

Since that does not represent a whole number, either in dollars or in cents, I suspect the statement of the problem is incorrect.