SOLUTION: A boy spent 17/35 of his money on transport and food. If he spends 2/7 on transport only,what fraction does he spend on food

Question 1118417: A boy spent 17/35 of his money on transport and food. If he spends 2/7 on transport only,what fraction does he spend on food
Found 3 solutions by Theo, ikleyn, MathTherapy:
Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
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.

Answer by ikleyn(52776)   (Show Source): You can put this solution on YOUR website!
.
A boy spent 17/35 of his money on transport and food. If he spends 2/7 on transport only,what fraction does he spend on food
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As the problem formulated, it means the following:

A boy spent 17/35 of his money on transport and food. If he spends 2/7 on transport only, what fraction does he spend on food ?

Solution.

- = - = = = . Answer. of his money the boy spent for food.

One line solution.

Answer by MathTherapy(10551)   (Show Source): You can put this solution on YOUR website!
A boy spent 17/35 of his money on transport and food. If he spends 2/7 on transport only,what fraction does he spend on food

You don't need a bunch of equations for something this simple. It's not ROCKET SCIENCE. It's just the entire fraction spent on transportation and food,
less fraction spent on transportation that'll give you the fraction spent on food. That's all!!
As pointed out by IKLEYN, it takes just ONE-LINE to get an answer, which is:
That's it! Why do these people (THEO, in particular) make everything so DIFFICULT and COMPLEX when they don't have to be?
I guess they just don't know any better.
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