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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]