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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?

 Jul 10, 2022
 #1
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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

 

 

cool cool cool

 Jul 11, 2022

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