Setting Up & Setting Proportions

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?

Back

To set up a proportion, you can use the formula a/b = c/d, where a and b are the first ratio, and c and d are the second ratio.

Front

If a car travels 420 miles in 8 hours, how do you find the distance it will travel in 12 hours?

Back

First, find the rate: 420 miles / 8 hours = 52.5 miles/hour. Then multiply the rate by 12 hours: 52.5 miles/hour * 12 hours = 630 miles.

Front

How do you find the number of items needed for a different quantity using proportions?

Back

Set up a proportion using the known quantity and the desired quantity, then solve for the unknown.

Front

If Pat needs 14 sticks of pepperoni for 28 pizzas, how many sticks are needed for 36 pizzas?

Back

Set up the proportion: 14/28 = x/36. Cross-multiply and solve for x: x = (14 * 36) / 28 = 18.

Front

What is the formula to find the total number of students who like a certain food based on a survey?

Back

If x out of y students like a food, and z students are surveyed, then the number who like the food is (x/y) * z.

Front

In a survey of 50 students, if 30 like pizza, how many would like pizza if 190 students were surveyed?

Back

Set up the proportion: 30/50 = x/190. Cross-multiply and solve for x: x = (30 * 190) / 50 = 114.

Front

How do you calculate the expected outcome in a fundraiser based on past performance?

Back

Use the ratio of subscriptions sold to days and multiply by the new number of days.

Front

If Krystal sold 56 subscriptions in 72 days, how many would she sell in 216 days?

Back

Set up the proportion: 56/72 = x/216. Cross-multiply and solve for x: x = (56 * 216) / 72 = 168.

Front

What is the relationship between part and whole in a proportion?

Back

In a proportion, the part is a portion of the whole, and the ratio of the part to the whole remains constant.