Question

Six friends went to a restaurant and agreed to share the bill equally. However, two people forgot their wallets so the other four friends' portions of the bill went up by $7 each. How many dollars was the total bill?

Answer 1

The total bill was $84

Explanation:

Ok so we know a few things, we know that the total cost of the bill is divisible by both 6 and 4, and we know that if we call the total cost of the bill x and the amount each person would pay if it was divided for 6 people y we can write these equations:

`(x)/(6)=y`

`(x)/(4)=y+7`

Now we can substitute the first equation into the second and solve for x

`(x)/(4)=(x)/(6)+7\\(x)/(4)-(x)/(6)=7\\(x)/(12)=7\\x=7*12=84`

Therefore, the total bill was $84