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 =
`(28)/(45)`.

Fraction of bag remains =
`(17)/(45)`

Explanation:

Given: Part of cookies eaten by Scott =
`\frac25`

Part of cookies eaten by sister =
`(2)/(9)`

Fraction they both eat =
`\frac25+\frac29=(9*2+5*2)/(5*9)`

`=(18+10)/(45)\\\\=(28)/(45)`

Fraction of the bag remain =
`1-(28)/(45)=(45-28)/(45)=(17)/(45)`

[Taking fraction of whole bag =1]

Hence, Fraction they both eat =
`(28)/(45)`.

Fraction of bag remains =
`(17)/(45)`