Question

Merry along with her family is going to picnic. She wants to pack equal number of apple slices and orange slices for snacks. She have boxes which can store either 27 apple slices or 36 orange slices. What is the minimum number of orange slices she can pack?

• A. $108$
• B. $120$
• C. $144$
• D. $132$

Answer 1

The correct option is A $108$

Given, Merry wants to pack equal number of slices of both apple and oranges.

Each box can stor either 27 apple slices or 36 orange slices.

Minimum number of apple slices or orange slices she can pack will be LCM of $27$ and $36$.

Prime factorisation of $27$ and $36$ will be
$27=3\times 3\times 3$
$36=2\times 2\times 3\times 3$
LCM will be $2\times 2\times 3\times 3\times 3=108$

Merry can pack 108 oranges slices in 3 boxes and 108 apple slices in 4 boxes.