Proportion Word Problems

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you set up a proportion for a word problem?

Back

Identify the two ratios involved in the problem and set them equal to each other.

Front

What is the scale in a scale drawing?

Back

The scale is the ratio of a distance on the drawing to the corresponding distance in real life.

Front

If a garden is 45 ft wide and 70 ft long, what is the ratio of width to length?

Back

The ratio is 45:70, which simplifies to 9:14.

Front

How do you find the length of an object in a scale drawing?

Back

Use the proportion of the scale to set up an equation and solve for the unknown length.

Front

What is the formula to find the actual distance using a scale?

Back

Actual Distance = Distance on Map × Scale Factor.

Front

If a model is built at a scale of 1cm = 8km, how do you find the actual distance if two points are 24cm apart on the model?

Back

Multiply 24cm by 8km/cm to get the actual distance of 192km.

Front

What is the relationship between the size of a model and the actual object?

Back

The size of the model is a scaled-down version of the actual object, based on a specific ratio.

Front

How do you determine how long a larger bottle of shampoo will last based on a smaller bottle?

Back

Set up a proportion based on the ounces and the duration the smaller bottle lasts.

Front

If a 12-ounce bottle lasts 16 weeks, how long will an 18-ounce bottle last?

Back

Set up the proportion: 12/16 = 18/x, solving gives x = 24 weeks.