Question

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?

Answer 1

Answer:  Fraction they both eat = $\dfrac{28}{45}$.

Fraction of bag remains =  $\dfrac{17}{45}$

Step-by-step explanation:

Given: Part of cookies eaten by  Scott = $\dfrac25$

Part of cookies eaten by sister = $\dfrac{2}{9}$

Fraction they both eat = $\dfrac25+\dfrac29=\dfrac{9\times2+5\times2}{5\times9}$

$=\dfrac{18+10}{45}\\\\=\dfrac{28}{45}$

Fraction of the bag remain = $1-\dfrac{28}{45}=\dfrac{45-28}{45}=\dfrac{17}{45}$

[Taking fraction of whole bag =1]

Hence, Fraction they both eat = $\dfrac{28}{45}$.

Fraction of bag remains =  $\dfrac{17}{45}$