Question

$\text{Jack collects}\frac{3}{10}\text{of the total pieces of}$ $\text{a puzzle while Jimmy collects}\frac{30}{100}$
$\text{pieces of it. Who has collected more pieces?}$

• A. Both Jack and Jimmy have collected equal amount of pieces
• B. Jimmy
• C. Jack
• D. Cannot be determined

Answer 1

The correct option is A Both Jack and Jimmy have collected equal amount of pieces

$\text{Fraction of total pieces of puzzle}$
$\text{collected by Jack}=\frac{3}{10}$

We can represent this fraction as:


$\text{Fraction of total pieces of puzzle}$
$\text{collected by Jimmy}=\frac{30}{10}$

We can represent this fraction as:


On comparing both the fractions, we get:


We can see that both the fractions are equivalent to each other.

∴ Both Jack and Jimmy have collected equal amount of pieces.