Question

15 pastries and 12 biscuit packets have been donated for a school fate. These are to be packed in several smaller identical boxes with the same number of pastries and biscuit packets in each. How many biscuit packets and how many pastries respectively will each cox contain

• A. $3,3$
• B. $3,4$
• C. $4,5$
• D. $5,4$

Answer 1

The correct option is C $4,5$

R.E.F image

No. of biscuit packets $=12$

No. of packets $=15$

Each box should contain same number of packets $=x$

Each box should contain same number of biscuit packets $=y$

$x$ & $y$ values can be found by saluting for Greatest common Disorder of

$12$ & $15$

$\Rightarrow$ Use prime factorization method

$\Rightarrow 12=2\times 2\times 3$

$15=5\times 3$

$\Rightarrow$ GCD $12$ & $15=3$

$\therefore$ No. of packets in each box $=15/3=5$

No. of biscuit packets in each box $=12/3=4$