Conversions & Proportions

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. It can be used to solve problems involving scaling and comparisons.

Front

How do you set up a proportion to solve for an unknown?

Back

To set up a proportion, write two ratios as fractions and set them equal to each other. Cross-multiply to find the unknown.

Front

If a shop produces 39 wetsuits every 2 weeks, how many wetsuits does it produce in 1 week?

Back

19.5 wetsuits.

Front

How do you find the total time to produce a certain number of items using a rate?

Back

Use the formula: Total Time = (Total Items / Rate of Production).

Front

What is the unit rate?

Back

The unit rate is a comparison of any two units of measure, expressed as a quantity of one unit. For example, if 5 books cost $55.40, the unit rate is $11.08 per book.

Front

How do you convert ounces to weeks in a proportional relationship?

Back

Set up a ratio comparing ounces to weeks, then solve for the unknown using cross-multiplication.

Front

If 12 ounces of shampoo lasts 16 weeks, how long will 18 ounces last?

Back

24 weeks.

Front

What is the relationship between ingredients in a recipe?

Back

The relationship is defined by the ratio of each ingredient to the others, which must be maintained for the recipe to work.

Front

If a recipe calls for 1.5 cups of milk for 3 cups of flour, how much milk is needed for 5 cups of flour?

Back

2.5 cups of milk.

Front

How do you calculate the amount of water needed for a different weight of dental stone powder?

Back

Use the ratio of water to dental stone powder from the original mixture to find the required amount for the new weight.