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 relationships between quantities.

Front

How do you calculate the unit rate?

Back

To calculate the unit rate, divide the quantity by the number of units. For example, if a patient receives 750 mg of medicine in 12.5 hours, the unit rate is 750 mg / 12.5 hours = 60 mg/hour.

Front

If 5 books cost $55.40, how do you find the cost of 1 book?

Back

To find the cost of 1 book, divide the total cost by the number of books: $55.40 / 5 books = $11.08 per book.

Front

What is the formula for finding the total cost using proportions?

Back

The formula is: (Cost of known quantity) / (Known quantity) = (Cost of unknown quantity) / (Unknown quantity).

Front

How do you set up a proportion to find the cost of 15 books if 5 books cost $55.40?

Back

Set up the proportion as: 5 books / $55.40 = 15 books / x, where x is the cost of 15 books.

Front

What is the cost per pound if hamburger meat costs $6 for 3 pounds?

Back

The cost per pound is $6 / 3 pounds = $2 per pound.

Front

How do you calculate the total cost for 10 pounds of hamburger meat if it costs $2 per pound?

Back

Multiply the cost per pound by the number of pounds: $2/pound * 10 pounds = $20.

Front

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

Back

To find the weekly production, divide the total by 2: 39 wetsuits / 2 weeks = 19.5 wetsuits/week.

Front

How do you find out how many weeks it will take to produce 429 wetsuits if 39 wetsuits are produced every 2 weeks?

Back

Set up the equation: 39 wetsuits / 2 weeks = 429 wetsuits / x weeks, then solve for x.

Front

If a 12-ounce shampoo bottle lasts 16 weeks, how do you find the duration for an 18-ounce bottle?

Back

Use the ratio: 12 ounces / 16 weeks = 18 ounces / x weeks, then solve for x.