Question

I L 1.) Granny spends one third of her weekly pension on Thursday night, and one quarter of what remains on Friday. What fraction of the original amount is left for her big night out on Saturday?

Answer 1

Ответ:

Пошаговое объяснение:

Granny spends 1/3 of her weekly pension on Thursday

Let's call her weekly pension P

So on Thursday she spent (1/3)P

After Thursday she had (2/3)P left

On Friday she spent 1/4 of what remained after Thursday

So on Friday she spent (1/4)(2/3)P = (1/6)P

After Friday she had (2/3)P - (1/6)P = (1/2)P left

The fraction of the original amount P left for Saturday is 1/2

Therefore, the fraction of the original amount left for Saturday is 1/2.

Answer 2

Sure, let's break it down step by step.

Granny spends one-third of her weekly pension on Thursday night. So, if we represent her total weekly pension as a whole, she spends 1/3 of it on Thursday.

Then, what remains after Thursday night is \(1 - \frac{1}{3} = \frac{2}{3}\) of her original pension amount.

After spending one-quarter of what remains on Friday, she's using 1/4 of the \(\frac{2}{3}\) that she had left after Thursday.

So, \(1 - \frac{1}{4} = \frac{3}{4}\) of \(\frac{2}{3}\) remains after Friday.

To find out what fraction is left for her big night out on Saturday, you multiply these fractions:

\(\frac{2}{3} \times \frac{3}{4} = \frac{6}{12}\) or \(\frac{1}{2}\) of her original amount is left for her big night out on Saturday.