Question

The brothers Sam and Tom are twins. They agreed to cut their birthday cakes into $6$ and $6\times 6$ pieces, respectively, on their birthdays. Do they consume the same amount of cake if the blue portion reflects the number of pieces consumed?

• A. Yes
• B. No
• C. Cannot say

Answer 1

The correct option is A Yes


Sam cut his cake into $6$ pieces.
Total number of pieces consumed $=3$.
So, the portion of cake consumed by Sam
$=\frac{3}{6}$
$=0.5$
Tom cut his cakes into $6\times 6=36$ pieces.
Total number of pieces consumed $=18$
So, the portion of cake consumed by Sam
$=\frac{18}{36}$
$=0.5$
Answer:
Since $0.5$ and $0.5$ are equivalent, hence they consumed the same portion of cake.