Rates, Ratios, and Proportions -- Ina

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It expresses how much of one quantity corresponds to one unit of another quantity, often expressed as 'per' something (e.g., miles per hour, dollars per item).

Front

How do you calculate the unit rate from a total amount?

Back

To calculate the unit rate, divide the total amount by the number of units. For example, if you earn $200 for 8 hours of work, the unit rate is $200 ÷ 8 hours = $25 per hour.

Front

What is a ratio?

Back

A ratio is a relationship between two numbers indicating how many times the first number contains the second. It can be expressed in different forms, such as 'a to b', 'a:b', or 'a/b'.

Front

How do you write a ratio of girls to boys if there are 5 boys and 7 girls?

Back

The ratio of girls to boys is written as 7 to 5 or 7:5.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if a/b = c/d, then a, b, c, and d are in proportion.

Front

How do you find the better deal when comparing prices?

Back

To find the better deal, calculate the unit price for each item by dividing the total price by the quantity. Compare the unit prices to determine which is lower.

Front

If hamburger meat costs $6 for 3 pounds, how much does it cost for 10 pounds?

Back

To find the cost for 10 pounds, first find the cost per pound: $6 ÷ 3 pounds = $2 per pound. Then multiply by 10 pounds: $2 × 10 = $20.

Front

What is the simplest form of a ratio?

Back

The simplest form of a ratio is when both numbers are divided by their greatest common factor (GCF). For example, the ratio 60:10 simplifies to 6:1.

Front

How do you express a ratio in simplest form?

Back

To express a ratio in simplest form, divide both terms of the ratio by their greatest common factor (GCF).

Front

What is the unit price of an item?

Back

The unit price is the cost of one unit of a product, calculated by dividing the total price by the number of units.