Problem Solving With Ratios

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In this Activity Object, students will use problem solving strategies to figure out the maximum amount of cookies they could make with the available ingredients.

Be sure that students are familiar with the concept of ratios, proportions, and the Cross Product Property.

A proportion is simply a statement that two ratios are equal.

It can be written in two ways: as two equal fractions a/b = c/d; or using a colon, a:b = c:d.

This means that, for every 2 units of height, there must be 3 units of width.

Consequently, if the piece of fabric was extended to be 20m high, it must be 30m wide. For example, if the piece fabric was made 80mm high, its width must be of the same unit of measurement and retain the rules of the ratio 2:3.

You can do this by adding up the number values in the ratio to get a total. This means that you need to share the money into 5 equal parts.

Now you need to calculate the amount which one part will receive.

Ratios are mathematical expressions that compare two or more numbers.

You multiply this number by each of the numbers of the ratio: 35 x 2 = 70, and 35 x 3 = 105. Both numbers added give you the total of 175 dollars.

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