Proportion Setup

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. It can be written in the form \( \frac{a}{b} = \frac{c}{d} \).

Front

How do you set up a proportion?

Back

To set up a proportion, identify two ratios that compare the same type of quantities and set them equal to each other.

Front

If Sam used 6 loaves of bread for 8 days, how do you find the number of loaves for 12 days?

Back

Set up the proportion: \( \frac{6 \text{ loaves}}{8 \text{ days}} = \frac{x \text{ loaves}}{12 \text{ days}} \).

Front

How many sprinkles are needed for 60 cookies if 24 cookies require 384 sprinkles?

Back

Set up the proportion: \( \frac{24 \text{ cookies}}{384 \text{ sprinkles}} = \frac{60 \text{ cookies}}{x \text{ sprinkles}} \).

Front

What is the relationship between pancakes and people in Rita's brunch scenario?

Back

Set up the proportion: \( \frac{22 \text{ pancakes}}{8 \text{ people}} = \frac{55 \text{ pancakes}}{x \text{ people}} \).

Front

How do you determine the number of cantaloupes you can buy for $6 if one costs $2?

Back

Set up the proportion: \( \frac{1 \text{ cantaloupe}}{2 \text{ dollars}} = \frac{x \text{ cantaloupes}}{6 \text{ dollars}} \).

Front

If one pizza feeds 3 people, how do you find out how many pizzas are needed for 36 people?

Back

Set up the proportion: \( \frac{1 \text{ pizza}}{3 \text{ people}} = \frac{x}{36 \text{ people}} \).

Front

What is the cross-multiplication method in solving proportions?

Back

Cross-multiplication involves multiplying the numerator of one ratio by the denominator of the other ratio and setting the two products equal.

Front

What does it mean if two ratios are in proportion?

Back

It means that the two ratios represent the same relationship between quantities.

Front

How can proportions be used in real-life situations?

Back

Proportions can be used to solve problems involving scaling, such as cooking, budgeting, and planning.