Tape Diagram 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 when one quantity is known?

Back

To solve a ratio problem, set up a proportion using the known quantity and the ratio, then cross-multiply to find the unknown quantity.

Front

If the ratio of A to B is 3:4 and B is 28, how do you find A?

Back

Set up the proportion 3/4 = A/28. Cross-multiply to find A = (3 * 28) / 4 = 21.

Front

What does it mean if the ratio of height to width of a rectangle is 4:3?

Back

It means for every 4 units of height, there are 3 units of width.

Front

If the height of a rectangle is 36 cm and the ratio of height to width is 4:3, how do you find the width?

Back

Set up the proportion 4/3 = 36/w. Cross-multiply to find w = (3 * 36) / 4 = 27 cm.

Front

What is a tape diagram?

Back

A tape diagram is a visual model that uses rectangles to represent ratios and help solve problems involving proportions.

Front

How can you use a tape diagram to solve ratio problems?

Back

Draw rectangles to represent each part of the ratio, label them, and use the total length to find the value of each part.

Front

In a ratio of 2:5, if you have 36 ounces of the first quantity, how do you find the second quantity?

Back

Set up the proportion 2/5 = 36/x. Cross-multiply to find x = (5 * 36) / 2 = 90 ounces.

Front

If Ashley and Troy share a prize in a 5:4 ratio and Ashley receives $17.50, how do you find Troy's amount?

Back

Let Troy's amount be x. Set up the equation 5/4 = 17.50/x. Cross-multiply to find x = (4 * 17.50) / 5 = $14.

Front

What is the difference in amounts received by Ashley and Troy if Ashley received $17.50?

Back

The difference is $17.50 - $14 = $3.50.