Ratios and Tape Diagrams

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'.

Front

How can a ratio be written?

Back

A ratio can be written using a colon (a:b), the word 'to' (a to b), or as a fraction (a/b).

Front

What does it mean if two ratios are equivalent?

Back

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

Front

If 15 for 5 pairs of socks is not equivalent to 25 for 10 pairs of socks, what does that imply?

Back

It implies that the price per pair of socks is different in each case.

Front

What is a tape diagram?

Back

A tape diagram is a visual representation used to illustrate ratios and relationships between quantities, often resembling a segment of tape.

Front

If 30 kids like grape juice and 40 kids like pineapple juice, what is the ratio of kids who like pineapple juice to those who like grape juice?

Back

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

Front

How do you find the total number of kids if 30 like grape juice and 40 like pineapple juice?

Back

Add the two quantities: 30 + 40 = 70 kids total.

Front

What is the ratio of red toy cars to all toy cars if Patrick has 2 black, 3 red, and 5 white toy cars?

Back

The total number of toy cars is 10, so the ratio of red toy cars to all toy cars is 3:10.

Front

What is the first step in solving a ratio problem?

Back

Identify the quantities being compared and express them in the form of a ratio.

Front

How can you check if two ratios are equivalent?

Back

Cross-multiply the ratios and see if the products are equal.