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:b'.

Front

How do you represent a ratio using a tape diagram?

Back

A tape diagram visually represents ratios by using rectangles divided into parts that correspond to the quantities in the ratio.

Front

If the ratio of boys to girls is 3:5, how many parts are there in total?

Back

There are 8 parts in total (3 parts for boys + 5 parts for girls).

Front

What is the total number of students if there are 120 boys and the ratio of boys to girls is 3:5?

Back

The total number of students is 270.

Front

How do you find the number of girls if the ratio of girls to boys is 3:8 and there are 48 boys?

Back

Set up the ratio as 3/8 = x/48, then cross-multiply and solve for x to find there are 18 girls.

Front

What is the purpose of using tape diagrams in solving ratio problems?

Back

Tape diagrams help visualize the relationships between quantities, making it easier to understand and solve ratio problems.

Front

If 30 kids like grape juice and the ratio of kids who like grape juice to those who like pineapple juice is 3:4, how many kids like pineapple juice?

Back

40 kids like pineapple juice.

Front

In a bag of Jolly Ranchers, if the ratio of blue to red is 3:4 and there are 56 Jolly Ranchers, how many are blue?

Back

There are 24 blue Jolly Ranchers.

Front

What does it mean if Derek sold 55 fewer cakes than Morgan, and the ratio of cakes sold is 7:2?

Back

It means for every 7 cakes Morgan sold, Derek sold 2, and the difference in their sales is 55 cakes.

Front

How can you use a tape diagram to solve the problem of how many cakes Derek sold if Morgan sold 7 times more?

Back

Draw a tape for Morgan with 7 parts and a tape for Derek with 2 parts, then set up an equation based on the difference of 55.