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?

Answers

Answer 1

Given:

Hayden [tex]1\dfrac{1}{2}[/tex] minutes to complete each level of his video game.

He plays for [tex]10\dfrac{1}{4}[/tex] minutes.

To find:

The number of levels he will complete.

Solution:

We have,

Required time for each level = [tex]1\dfrac{1}{2}[/tex]

Total time = [tex]10\dfrac{1}{4}[/tex]

The number of level is

[tex]n=\dfrac{\text{Total time}}{\text{Required time for each level}}[/tex]

[tex]n=\dfrac{10\dfrac{1}{4}}{1\dfrac{1}{2}}[/tex]

[tex]n=\dfrac{\dfrac{10(4)+1}{4}}{\dfrac{1(2)+1}{2}}[/tex]

[tex]n=\dfrac{\dfrac{41}{4}}{\dfrac{3}{2}}[/tex]

On further simplification, we get

[tex]n=\dfrac{41}{4}\times \dfrac{2}{3}[/tex]

[tex]n=\dfrac{41}{6}[/tex]

[tex]n=6.8333...[/tex]

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

[tex]n\approx 6[/tex]

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


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