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:

[tex]\frac{16}{25}[/tex]

Step-by-step 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 = [tex]\frac{1}{5}\times\frac{4}{5}[/tex]

         =[tex]\frac{4}{25}[/tex]

Sticker she has = [tex]1-\frac{1}{5}-\frac{4}{25}[/tex]

=[tex]\frac{25-5-4}{25}[/tex]

=[tex]\frac{16}{25}[/tex]

Sticker left with Ally is equal to [tex]\frac{16}{25}[/tex].

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