Question

We have 38 cakes. Each box can hold 5 cakes only. How many boxes we need to pack and how many cakes are unpacked?

• A. 7, 3
• B. 7, 4
• C. 6, 8
• D. 8, 2

Answer 1

The correct option is A 7, 3

Let number of cakes be a and capacity of box be b.

$\therefore$ a = 38, b = 5

By Euclid’s division lemma
$a=bq+r,0\le r<|b|$
$38=5\times \left(7\right)+3,0\le 3<|5|$
Therefore, Quotient q = 7and remainder r = 3

We see that 7 boxes are required to pack 38 cakes with 3 cakes left over.