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

1 Answer
Binayaka C.
Apr 21, 2017

The dinner cost was #$42#

Explanation:

Let the dinner cost was #$x#
Will paid #x/3#
Miah paid #2/7#of remaining# (1-1/3)x=2/3 x# i.e #4/21 x#
Sue paid #5/7#of remaining# (1-1/3)x=2/3 x# i.e #10/21 x#
Sue paid #$6# more than Will. #:.10/21 x -1/3 x=6 or 3/21 x=6 or x=$42#
Will paid #42/3=$1#4, Miah paid #4/21*42=$8# ,Sue paid #10/21*42=$20#
The dinner cost was#$42#.[Ans]

Related questions
See all questions in Equations with Ratios and Proportions
Impact of this question
3490 views around the world
You can reuse this answer
Creative Commons License