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a youth ice hockey game has 3 periods that are each 20 minutes long. Colin plays 12 minutes each period. which ratio shows Colin's playing time compared to the total number of minutes of playing time possible?
A. 1 to 4
B. 3 to 20
C.1 to 5
D.3 to 5

Sagot :

3*20=60

3*12=36

36:60=3:5
The answer is D. 3 to 5
 

Answer:  The correct option is (D) 3 to 5.

Step-by-step explanation:  Given that a youth ice hockey game has 3 periods that are each 20 minutes long. Colin plays 12 minutes each period.

We are to select the correct ratio that shows Colin's playing time compared to the total number of minutes of playing time possible.

Since there are three periods, so Colin's total playing time is given by

[tex]T_p=12+12+12=36~\textup{minutes}.[/tex]

And each period is 20 minutes long, so total number of minutes playing time possible will be

[tex]T=20+20+20=60~\textup{minutes}.[/tex]

Therefore, the ratio that shows Colin's playing time compared to the total number of minutes of playing time possible is given by

[tex]T_p:T\\\\\\=\dfrac{T_p}{T}\\\\\\=\dfrac{36}{60}\\\\\\=\dfrac{3}{5}\\\\\\=3:5.[/tex]

Thus, the required ratio is 3 to 5.

Option (D) is CORRECT.

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