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The Ratio word problems exercise appears under the 6th grade (U.S.) Math Mission, Pre-algebra Math Mission and Mathematics I Math Mission. This exercise has various examples of word problems using ratios.

Types of Problems

There are two types of problems in this exercise:

  1. Find one from the other: This problem provides a ratio of two quantities and the number of one of the quantities. The user is asked to find the amount of the other quantity.
    Rwp1

    Find one from the other

  2. Find one from total: This problem provides a ratio of two quantities and the total number of objects in the collection. The user is asked to find how many there are of either the first or second quantity.
    Rwp2

    Find one from total

Strategies

This exercise is easy to get accuracy badges because the problem use whole numbers and the ratios do not use large numbers. The speed badges are also easy because the multiplication can generally be performed mentally.

  1. When users are looking for one from the other, find the common multiplier and use that to find the other number.
  2. Often, on Find one from the other only one number is a simple multiple of the other.
  3. On Find one from total try adding the numbers of the ratio together, and see what they can multiply that by to get the total. This will give them the "multiple" needed for the ratio.

Real-life Applications

  1. Rates and ratios are prevalent in much of the sciences, such as stoichiometry.
  2. Several of the problems in this exercise can be viewed as real-life applications.
  3. Comparing unit rates is useful for anyone that has to shop to buy food items for their household.

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