Question

It takes Hayden 1 1/2 minutes t complete each level of his video game. If he plays for 10 1/4 minutes, how many levels will he complete?

Answer 1

Given:

Hayden $1\dfrac{1}{2}$ minutes to complete each level of his video game.

He plays for $10\dfrac{1}{4}$ minutes.

To find:

The number of levels he will complete.

Solution:

We have,

Required time for each level = $1\dfrac{1}{2}$

Total time = $10\dfrac{1}{4}$

The number of level is

$n=\dfrac{\text{Total time}}{\text{Required time for each level}}$

$n=\dfrac{10\dfrac{1}{4}}{1\dfrac{1}{2}}$

$n=\dfrac{\dfrac{10(4)+1}{4}}{\dfrac{1(2)+1}{2}}$

$n=\dfrac{\dfrac{41}{4}}{\dfrac{3}{2}}$

On further simplification, we get

$n=\dfrac{41}{4}\times \dfrac{2}{3}$

$n=\dfrac{41}{6}$

$n=6.8333...$

Number of levels must be a whole number. So, approx to value to the preceding whole number.

$n\approx 6$

Therefore, Hayden will complete 6 levels if he plays for $10\dfrac{1}{4}$ minutes.