Proportions Word Problems

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 two ratios and set the products equal to each other.

Front

What is the formula for finding the unit rate?

Back

The unit rate is found by dividing the quantity by the number of units, expressed as 'quantity per unit'.

Front

If Emily mowed 3/5 of a lawn in 1/2 hour, how do you find her rate per hour?

Back

Multiply the fraction of the lawn mowed by the reciprocal of the time taken: (3/5) ÷ (1/2) = (3/5) * (2/1) = 6/5 or 1 1/5 lawns per hour.

Front

What is the relationship between hours worked and money earned in a proportional relationship?

Back

In a proportional relationship, as the number of hours worked increases, the money earned increases at a constant rate.

Front

How do you find the total earnings if you know the hourly rate?

Back

Multiply the hourly rate by the total number of hours worked.

Front

What is the concept of scaling in proportions?

Back

Scaling in proportions involves increasing or decreasing both quantities in a ratio by the same factor.

Front

If an artist used 6 1/4 tubes of paint for 5/6 of a mural, how do you find the total needed for one mural?

Back

Divide the total paint used by the fraction of the mural completed: (6 1/4) ÷ (5/6) = 7 1/2 tubes.

Front

What does it mean to find the rate of production?

Back

Finding the rate of production means determining how much of a product is made in a specific amount of time.

Front

How do you calculate the number of pizzas made per hour if 5 1/2 pizzas are made in 3/4 hour?

Back

Use the formula: (5 1/2) ÷ (3/4) = (11/2) ÷ (3/4) = (11/2) * (4/3) = 7 1/3 pizzas per hour.