# Thread: first post in this forum

1. ## first post in this forum

A spends 1/4 of her savings on bike and 1/3 less than she spent on the bike for a car. what fraction of her savings did she spent on bike and car?

2. ## Re: first post in this forum

let her savings be x

She spends x/4 on bike and x/4 - 1/3 on the car.
To find how much she spent on both you add them
x/4 + x/4 -1/3 = x/2-1/3 = (3x-2)/6

3. ## Re: first post in this forum

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4. ## Re: first post in this forum

I would state the fraction $f$ of her savings spent as:

$f=\frac{1}{4}+\left(1-\frac{1}{3} \right)\cdot\frac{1}{4}=\frac{1}{4}\left(1+\frac{2 }{3} \right)=\frac{1}{4}\cdot\frac{5}{3}=?$

5. ## Re: first post in this forum

Originally Posted by puresoul
let her savings be x

She spends x/4 on bike and x/4 - 1/3 on the car.
To find how much she spent on both you add them
x/4 + x/4 -1/3 = x/2-1/3 = (3x-2)/6
there is an error, here.

it should be: x/4 + (x/4 - (1/3)(x/4)) = x/4 + x/4 - x/12 = 2x/4 - x/12 = 6x/12 - x/12 = (6x - x)/12 = 5x/12.

5x/12 is what fraction of x?