Proportion Word Problems

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you set up a proportion to solve a word problem?

Back

Identify the two ratios involved in the problem and set them equal to each other.

Front

What is the formula for finding a percentage?

Back

Percentage = (Part/Whole) x 100.

Front

If a garden is 45 ft wide and 70 ft long, what is the ratio of width to length?

Back

The ratio is 45:70, which simplifies to 9:14.

Front

How do you find the length of a drawing if the width is given?

Back

Use the ratio of the actual dimensions to the drawing dimensions.

Front

If a team wins 70% of their games, how do you calculate the expected wins?

Back

Multiply the total number of games by the winning percentage (e.g., 190 games x 0.70 = 133 wins).

Front

What is the expected number of computers on a street with 60 homes if 13 out of 20 homes have a computer?

Back

Use the ratio: (13/20) x 60 = 39 computers.

Front

How do you find the new width of a triangle when it is enlarged?

Back

Use the scale factor based on the change in height.

Front

If a triangle is 4 in tall and enlarged to 8 in, what is the scale factor?

Back

The scale factor is 2 (8 in / 4 in).

Front

What is the formula to find the percent of a group?

Back

Percent = (Number of specific group members / Total members) x 100.