Badge Flashcard 7.3 Proportions

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 find a missing number in a ratio table?

Back

To find a missing number in a ratio table, use the concept of equivalent ratios. Set up a proportion and solve for the unknown value.

Front

If a watch gains 2 minutes in 6 hours, how do you calculate the gain in 19.5 hours?

Back

Use the unit rate: 2 minutes / 6 hours = x minutes / 19.5 hours. Cross-multiply and solve for x to find the gain.

Front

What is the ratio of red apples to green apples if there are 4 red apples and 3 green apples?

Back

The ratio is 4 red apples to 3 green apples, expressed as 4:3.

Front

How do you calculate the final price after a discount?

Back

To calculate the final price after a discount, subtract the discount amount from the original price. Discount amount = Original price x Discount rate.

Front

What is the scale in a scale drawing?

Back

The scale in a scale drawing is a ratio that represents the relationship between the dimensions in the drawing and the actual dimensions.

Front

If 2 inches represents 5 feet in a scale drawing, how do you find the length of an actual object?

Back

To find the actual length, set up a proportion: (2 inches / 5 feet) = (x inches / actual length). Solve for x.

Front

What is the formula for calculating percentages?

Back

Percentage = (Part / Whole) x 100.

Front

How do you convert a ratio to a fraction?

Back

To convert a ratio to a fraction, write the first quantity as the numerator and the second quantity as the denominator.

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, meaning they simplify to the same fraction.