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 solve a proportion?

Back

To solve a proportion, cross-multiply the two ratios and set the products equal to each other.

Front

What is the formula for finding the unit rate?

Back

The unit rate is found by dividing the quantity by the number of units, expressed as 'quantity per unit'.

Front

If 3 rooms take 7 hours to paint, how do you find the time to paint 12 rooms?

Back

Set up a proportion: 3 rooms/7 hours = 12 rooms/x hours, then cross-multiply and solve for x.

Front

What is the relationship between distance, rate, and time?

Back

The relationship is expressed as: Distance = Rate × Time.

Front

How do you find the cost per item?

Back

To find the cost per item, divide the total cost by the number of items.

Front

If a boat travels 330 miles in 9 hours, how do you find the distance it travels in 3 hours?

Back

First, find the rate: 330 miles / 9 hours = 110 miles per hour. Then multiply by 3 hours.

Front

What is the concept of scaling in proportions?

Back

Scaling in proportions involves multiplying or dividing both terms of a ratio by the same number to maintain equality.

Front

How do you determine how many gallons of gas are needed for a trip?

Back

Use the formula: Gallons needed = Total miles / Miles per gallon.

Front

What is the cost of 12 avocados if 5 avocados cost $3?

Back

Set up a proportion: 5 avocados/$3 = 12 avocados/x dollars, then cross-multiply and solve for x.