Question 1187279
i get the following:


let s = the original amount of money.


he spent 1/6 * x + 11 on food.


he was left with 5/6 * x - 11.


he then spent 2/3 of that plus an additional 7 on books.


he was left with 1/3 * (5/6 * x - 11) - 7.


that was equal to 16 dollars.


you get:


1/3 * (5/6 * x - 11) - 7 = 16
add 7 to both sides to get:
1/3 * (5/6 * x - 11) = 23
simplify to get:
5/18 * x - 11/3 = 23
multiply both sides by 18 to get:
5 * x - 11 * 6 = 23 * 18
simplify to get:
5 * x - 66 = 414
add 66 to both sides to get:
5 * x = 414 + 66
simplify to get:
5 * x = 480
divide both sides by 5 to get:
x = 96


that's the original amount.
to confirm, follow the steps with 96 as the original amount.
he spent 1/6 * 96 + 11.
he had 5/6 * 96 - 11 left.
that was equal to 69
he then spent 2/3 of that plus 7.
he had 1/3 * 69 - 7 left.
that was equal to 16.


solution is that the original amount he started with was 96 dollars.
this was confirmed to be good.