Unit 3 Lesson 14 Flashcard Second Week of 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 find the total number of items in a ratio?

Back

To find the total number of items in a ratio, add the parts of the ratio together and then multiply by the common factor.

Front

If the ratio of boys to girls is 2:3 and there are 10 boys, how many girls are there?

Back

15 girls. (If 2 parts = 10 boys, then 3 parts = (10 boys * 3/2) = 15 girls.)

Front

What does it mean if a recipe calls for ingredients in a ratio?

Back

It means the ingredients should be mixed in specific proportions to maintain the intended flavor and texture.

Front

If Mary has 32 pairs of shoes and the ratio of sandals to tennis shoes is 1:7, how many pairs of sandals does she have?

Back

4 pairs of sandals. (1 part sandals + 7 parts tennis shoes = 8 parts total; 32 shoes / 8 parts = 4 sandals.)

Front

How do you solve a problem involving ratios?

Back

Identify the ratio, set up a proportion, and solve for the unknown quantity using cross-multiplication.

Front

What is the ratio of boys to total students if there are 8 boys and 14 girls?

Back

The ratio of boys to total students is 8:22.

Front

If 180 students prefer tacos to pizza in a ratio of 3:2, how many prefer pizza?

Back

120 students prefer pizza. (3 parts tacos + 2 parts pizza = 5 parts total; 180 students / 5 parts = 36 students per part; 2 parts = 72 students.)

Front

How do you scale a recipe based on the number of servings?

Back

Multiply each ingredient by the same factor based on the desired number of servings compared to the original recipe.

Front

If a graph shows a direct relationship between hours and miles, what does that mean?

Back

It means that as the number of hours increases, the number of miles traveled also increases proportionally.