Proportion Word Problems

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

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

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

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

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

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

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

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

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

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