Proportional Relationships

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is constant.

Front

If there are 3 boys for every 5 girls, what is the ratio of boys to girls?

Back

The ratio of boys to girls is 3:5.

Front

How do you find the number of boys if you know the number of girls in a proportional relationship?

Back

Use the ratio to set up a proportion. For example, if there are 70 girls, set up the equation 3/5 = x/70 and solve for x.

Front

If Nan's Bakery uses 1 container of frosting for every 36 cupcakes, how many containers are needed for 300 cupcakes?

Back

To find the number of containers needed, divide 300 by 36, which is approximately 8.33. Rounding up, Nan needs 9 containers.

Front

What is the formula to calculate the total amount in a proportional relationship?

Back

Total amount = (part/ratio) * total ratio.

Front

If Toby brings 3 brownies every week, how many brownies does he bring in 5 weeks?

Back

Toby brings 3 brownies/week * 5 weeks = 15 brownies.

Front

How do you determine how many items are needed for a group of people in a proportional relationship?

Back

Multiply the number of items needed per person by the total number of people.

Front

In a bag of trail mix, if there are 2 M&Ms for every 10 raisins, what is the ratio of M&Ms to raisins?

Back

The ratio of M&Ms to raisins is 2:10, which simplifies to 1:5.

Front

If a cafeteria worker prepares 1 tray of tater tots for every 20 kids, how many trays are needed for 180 kids?

Back

To find the number of trays needed, divide 180 by 20, which equals 9 trays.

Front

What is the relationship between the number of M&Ms and raisins in a bag of trail mix if there are 18 M&Ms?

Back

If the ratio is 2 M&Ms for every 10 raisins, then for 18 M&Ms, there are 90 raisins.