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 Karen babysits for 6 hours and earns $90, what is her hourly rate?

Back

Her hourly rate is $15 per hour.

Front

If Jennifer completes 5/6 of a puzzle in 3/4 hour, how do you find her rate of puzzles per hour?

Back

Divide the fraction of the puzzle completed by the time taken: (5/6) ÷ (3/4) = 1 1/9 puzzles per hour.

Front

How do you convert a mixed number to an improper fraction?

Back

Multiply the whole number by the denominator, add the numerator, and place that over the original denominator.

Front

What is the relationship between the number of pizzas made and time in the pizza chef problem?

Back

The number of pizzas made is directly proportional to the time spent making them.

Front

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

Back

Set up a proportion: (6 1/4 tubes) / (5/6 mural) = x tubes / 1 mural, then solve for x.

Front

What does it mean to find the rate of work done?

Back

Finding the rate of work done means determining how much of a task can be completed in a specific amount of time.

Front

If a gardener plants 3/5 of a garden in 1/3 hour, how do you find the number of gardens planted per hour?

Back

Calculate the rate by dividing the fraction of the garden by the time: (3/5) ÷ (1/3) = 1 4/5 gardens per hour.