Intro to 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:b'.

Front

How do you solve a ratio problem using a tape diagram?

Back

A tape diagram visually represents the parts of a ratio, allowing you to see the relationship between the quantities and solve for unknowns.

Front

If the ratio of girls to boys is 3:8 and there are 48 boys, how many girls are there?

Back

18 girls.

Front

What is the formula to find the number of items in a ratio?

Back

Number of items = (Total number of items) * (Part of the ratio) / (Sum of the ratio parts).

Front

How do you find the total number of parts in a ratio?

Back

Add the parts of the ratio together. For example, in a ratio of 3:8, the total parts are 3 + 8 = 11.

Front

If Enrique needs 4 eggs to make 1 cake, how many eggs does he need for 7 cakes?

Back

28 eggs.

Front

What is the relationship between the quantities in a ratio?

Back

The quantities in a ratio are proportional, meaning if one quantity changes, the other changes in a consistent way.

Front

How do you divide a total length into parts based on a ratio?

Back

Use the ratio to determine the total number of parts, then divide the total length by the total parts to find the length of each part.

Front

If a wire is cut in the ratio 9:6, how do you find the lengths of each piece?

Back

First, find the total parts (9 + 6 = 15). Then, divide the total length by the total parts to find the length of one part.

Front

What is the ratio of kids who like grape juice to those who like pineapple juice if 30 kids like grape juice and 40 like pineapple juice?

Back

The ratio is 30:40, which simplifies to 3:4.