Question 1118417
let x equql the amount of money he had.


he spent 17/35 of his money on transport and food.


let t = the money he spent on transport.


let f = the money he spent on food.


the equation for that would be 17/35 * x = t + f.


he spent 2/7 of his money on transport alone.


the equation for that would be 2/7 * x = t


replace t with 2/7 * x and the equation becomes:


17/35 * x = 2/7 * x + f.


subtract 2/7 * x from both sides of the equation to get:


17/35 * x - 2/7 * x = f


2/7 * x is equivalent to 10/35 * x.


the equation becomes 17/35 * x - 10/35 * x = f


combine like terms to get 7/35 * x = f


simplify to get 1/5 * x = f.


that's how much of his money he spent on food.


he spent 2/7 of his money on transport and 1/5 of his money on food.


2/7 * x + 1/5 * x is equal to 10/35 * x + 7/35 * x which is equal to 17/35 * x.


solution looks good.


solution is he spent 1/5 of his money on food.