Question

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?

Answer 1

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]