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Scott bought a 5lb bag of cookies at the bakery. He ate 2/5 of the bag and his sister ate 2/9 of the bag. What fraction of the bag did they eat? What fraction of the bag remains?

Sagot :

JeanaShuppidn

Answer:  Fraction they both eat = [tex]\dfrac{28}{45}[/tex].

Fraction of bag remains =  [tex]\dfrac{17}{45}[/tex]

Step-by-step explanation:

Given: Part of cookies eaten by  Scott = [tex]\dfrac25[/tex]

Part of cookies eaten by sister = [tex]\dfrac{2}{9}[/tex]

Fraction they both eat = [tex]\dfrac25+\dfrac29=\dfrac{9\times2+5\times2}{5\times9}[/tex]

[tex]=\dfrac{18+10}{45}\\\\=\dfrac{28}{45}[/tex]

Fraction of the bag remain = [tex]1-\dfrac{28}{45}=\dfrac{45-28}{45}=\dfrac{17}{45}[/tex]

[Taking fraction of whole bag =1]

Hence, Fraction they both eat = [tex]\dfrac{28}{45}[/tex].

Fraction of bag remains =  [tex]\dfrac{17}{45}[/tex]

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