Question

Santa wants to distribute sweets to Grade 6 students on Christmas morning. Grade 6 has Section A and Section B, having $10$ and $15$ students, respectively. The Section in which Santa will distribute sweets will be either A or B. Find the least number of swets that Santa must carry with him such that every student in section A or B receives an equal number of sweets.

• A. 30
• B. 60

Answer 1

The correct option is A 30

The section in which Santa will distribute sweets was not decided earlier.

As the number of sweets received by each student in section A or B is equal, Santa must carry sweets in multiple of $10$ and $15.$

For least number of sweets, Santa must carry least common multiple of $10$ and $15$ sweets.

Few multiples of $10$ and $15$ are:
$10\times 1=10$
$10\times 2=20$
$10\times 3=30$
$10\times 4=40$

$15\times 1=15$
$15\times 2=30$
$15\times 3=45$
$15\times 4=60$

The least common multiple is $30.$
$\therefore$ Required number of sweets is $30.$