Review Ratios & Proportions

Front

What are the three ways to write a ratio?

Back

1. a:b (e.g., 3:4) 2. a/b (e.g., 3/4) 3. a to b (e.g., 3 to 4) (Note: a = 3, b = 4) The incorrect way is a = b (e.g., 3=4).

Front

If a ratio of sunfish to perch is 4:3 and there are 300 sunfish, how many perch are needed?

Back

225 perch. (Using the ratio: 300 sunfish * (3 perch / 4 sunfish) = 225 perch)

Front

If refreshments cost $9.50 for 10 guests, how much would it cost for 80 guests?

Back

$76. (Using the ratio: $9.50 / 10 guests = $0.95 per guest; 80 guests * $0.95 = $76)

Front

Are the ratios 2:1 and 18:9 equivalent?

Back

Yes, they are equivalent. (2:1 = 18:9 when simplified)

Front

What is another way to write the ratio 6:7?

Back

6/7.

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, even if the numbers are different.

Front

How do you find a missing value in a ratio table?

Back

Use cross-multiplication or equivalent fractions to find the missing value.

Front

What is the formula to find a missing value in a proportion?

Back

If a/b = c/d, then ad = bc. (You can cross-multiply to find the missing value.)

Front

If the ratio of cats to dogs is 5:2 and there are 10 cats, how many dogs are there?

Back

4 dogs. (Using the ratio: 10 cats * (2 dogs / 5 cats) = 4 dogs)