Will, Mike and Sue went to dinner. Will paid 1/3rd of the dinner bill. Mike and Sue paid in the ratio 2:5. If Sue paid $6 more than Will, how much did the dinner cost?

Guest Jul 10, 2022

#1**+1 **

Let the cost of the bill = C

Will paid (1/3)C

Mike and Sue together paid (2/3) C

Mike paid (2/7) (2/3)C

Sue paid (5/7)(2/3)C

And

What Mike paid + $6 = What Sue paid .....so....

(2/7) (2/3)C + 6 = (5/7)(2/3)C

(4/21)C + 6 = (10/21)C

(10/21)C - (4/21)C = 6

(6/21)C = 6

C = 6(21/6) = $ 21

Proof

Will paid (1/3)(21) =$7

Mike paid (2/7) (2/3) (21) = $4

Sue paid $10

CPhill Jul 11, 2022