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

What is the cross-multiplication method in proportions?

Back

Cross-multiplication is a method used to solve proportions by multiplying the numerator of one ratio by the denominator of the other ratio, and vice versa. If \( \frac{a}{b} = \frac{c}{d} \), then \( a \cdot d = b \cdot c \).

Front

If Eliana drove 81 km using 9 liters of fuel, how do you find the distance she can drive on 22 liters?

Back

Set up the proportion \( \frac{81 \text{ km}}{9 \text{ liters}} = \frac{x \text{ km}}{22 \text{ liters}} \) and solve for \( x \).

Front

How do you determine how many loaves of bread Sam needs for a 12-day trip?

Back

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

Front

What is the relationship between cookies and sprinkles in Stan's recipe?

Back

The relationship can be expressed as a proportion: \( \frac{24 \text{ cookies}}{384 \text{ sprinkles}} = \frac{60 \text{ cookies}}{x \text{ sprinkles}} \).

Front

How can you estimate the number of eggs Sofia's chickens will lay in a year?

Back

Set up the proportion \( \frac{87 \text{ eggs}}{30 \text{ days}} = \frac{x \text{ eggs}}{365 \text{ days}} \) and solve for \( x \).

Front

What is the formula to find out how long it takes Mika to eat hot dogs?

Back

Use the proportion \( \frac{21 \text{ hot dogs}}{66 \text{ minutes}} = \frac{35 \text{ hot dogs}}{x \text{ minutes}} \) to find \( x \).

Front

What is the first step in solving a proportion?

Back

The first step is to set up the proportion correctly by identifying the corresponding quantities.

Front

What does it mean if two ratios are in proportion?

Back

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