Question

Sam and Jack went to a nearby pizza shop and ordered identical-sized pizzas. After that, Sam divides his pizza into eight equal slices, while Jack divides his pizza into five equal slices. If Sam ate five while Jack ate only three slices, then select the appropriate choice.

• A. Jack ate more pizza than Sam.
• B. Sam ate more pizza than Jack.
• C. Both ate equal amount of pizza.

Answer 1

The correct option is B Sam ate more pizza than Jack.

Sam divided his pizza into 8 equal parts and ate 5 of the peices.
$\therefore$ Ratio of Sam's pizza remaining to the whole size $=3:8$
While Jack divided it into 5 equal parts and ate 3 of the peices
$\therefore$ Ratio of Jack's pizza remaining to the whole size $=2:5$
Now, to compare which ratio is larger.
Using cross - multiplication method.
We get $5\times 3=15$ and $2\times 8=16$
$\Rightarrow \frac{2}{5}$ is larger than $\frac{3}{8}$
Hence, Jack consumed less amount of pizza than Sam.