Rates and Ratios

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a to b' or a:b.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD).

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per unit' (e.g., miles per hour, dollars per item).

Front

How do you find the better buy between two products?

Back

To find the better buy, calculate the unit price for each product and compare them. The product with the lower unit price is the better buy.

Front

What is the ratio of wins to losses if a team has won 11 games and lost 1?

Back

The ratio of wins to losses is 11:1.

Front

If a recipe calls for a ratio of 2:3 of sugar to flour, how much sugar is needed for 6 cups of flour?

Back

To find the amount of sugar needed, set up the ratio: (sugar/flour) = (2/3). If flour = 6 cups, then sugar = (2/3) * 6 = 4 cups.

Front

What is the difference between a ratio and a rate?

Back

A ratio compares two quantities, while a rate compares two quantities with different units (e.g., speed is a rate of distance per time).

Front

If a car travels 150 miles in 3 hours, what is its speed in miles per hour?

Back

The speed is 150 miles / 3 hours = 50 miles per hour.

Front

How do you express a ratio of 4 red apples to 3 green apples in fraction form?

Back

The ratio can be expressed as the fraction 4/3.

Front

What is the unit price of a 12-pack of juice boxes that costs $6.59?

Back

The unit price is $6.59 / 12 = $0.5492 per juice box.