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

1 answer

"Will paid 1/3 of the dinner bill."
means Micah and Sue paid (1-1/3)=2/3 of the bill.

If Micah and Sue paid in the ratio 2:5, that means Sue paid 5/(2+5)=5/7 of their portion.
$6÷5/7=$8.40 which is 2/3 of the cost of dinner.
Proceeding the same way,
8.40÷2/3=$12.60 is the total cost of the dinner.