Math Problem Statement

At hockey practice, Coach Taylor always sets aside 80% of the total time for game play. The rest of the practice is spent on the warm up. At practice yesterday, players spent 72 minutes on game play. The players want to know the total practice time. What is the unknown in the problem?

Solution

In this problem, Coach Taylor has set aside 80% of the total practice time for game play, with the rest allocated to warm-up. The players spent 72 minutes on game play and want to know the total practice time.

The question here is asking about the unknown quantity in the problem, which would be:

  • The total practice time because we need this total time to calculate how much time was spent on warm-up and verify the allocation.

Would you like to see a breakdown of how to calculate the total practice time in this scenario?

Here are five questions that build on this information:

  1. How can we calculate the total practice time if we know 80% of it was used for game play?
  2. If 80% of the time was 72 minutes, what would the remaining 20% of the time be?
  3. How would the calculation change if the percentage spent on game play was different?
  4. How can we use percentage calculations in other real-life time allocation problems?
  5. What if the players wanted to know how much time to spend on warm-up instead?

Tip: When dealing with percentages, setting up equations based on known values (like the part and percentage) can help find the total easily.

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Math Problem Analysis

Mathematical Concepts

Percentage
Proportion
Basic Algebra

Formulas

Percentage formula: part = (percentage / 100) * total

Theorems

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Suitable Grade Level

Grade 6