Solving Proportions Revised 2024

Front

What is a proportion?

Back

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

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms and then solve for the unknown variable.

Front

If 1 cm on a map represents 25 km, how do you find the distance for 7 cm?

Back

Multiply 7 cm by 25 km/cm to get 175 km.

Front

What is the formula to find the percentage of a part compared to a whole?

Back

Percentage = (Part/Whole) x 100.

Front

How do you calculate the percentage of nonfiction books on a shelf?

Back

Divide the number of nonfiction books by the total number of books and multiply by 100.

Front

If 14 sticks of pepperoni make 28 pizzas, how do you find the sticks needed for 36 pizzas?

Back

Set up a proportion: 14/28 = x/36, then solve for x.

Front

What is the unit rate in a distance problem?

Back

The unit rate is the distance traveled per unit of time, e.g., miles per hour.

Front

How do you find the distance traveled if you know the speed and time?

Back

Distance = Speed x Time.

Front

If a car travels 420 miles in 8 hours, what is its speed?

Back

Speed = Distance/Time = 420 miles / 8 hours = 52.5 miles per hour.

Front

How do you find the cost of 2 movie tickets if 6 tickets cost $240?

Back

Set up a proportion: 6 tickets/$240 = 2 tickets/x, then solve for x.