Question

Ally collects stickers as a hobby. She gives her sisters of her stickers.

She then gives her cousin of the remainder.
Ally says that she has 3/5 of the stickers in the end because 1-1/5-1/5=3/5
• Explain why Ally's reasoning is incorrect.
What should the correct answer be?
Explain how you arrived at your answer.

Answer 1

`(16)/(25)`

Explanation:

Ally gives her sister = 1/5 stickers

Ally gives her cousin = 1/5 of the remainder stickers

Assume Number of sticker Ali has = 1

Remainder after giving stickers to her sister = 1 - 1/5 = 4/5

Number of stickers she gave her sister =
`(1)/(5)*(4)/(5)`

=
`(4)/(25)`

Sticker she has =
`1-(1)/(5)-(4)/(25)`

=
`(25-5-4)/(25)`

=
`(16)/(25)`

Sticker left with Ally is equal to
`(16)/(25)`.