Proportion Word Problems

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 to solve a word problem?

Back

Identify the two ratios involved in the problem and set them equal to each other.

Front

What is the cross-multiplication method?

Back

Cross-multiplication is a method used to solve proportions by multiplying the numerator of one ratio by the denominator of the other ratio.

Front

If 25 out of 30 students prefer pizza, how do you find the total number of students who prefer pizza out of 1200?

Back

Set up the proportion: 25/30 = x/1200, then solve for x.

Front

What is the formula to find the unit rate?

Back

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

Front

How do you calculate the average rate of rainfall per hour?

Back

Divide the total rainfall by the total time in hours.

Front

If Carol practices 17 hours in 2 weeks, how do you find her practice time in 5 weeks?

Back

First find her weekly practice time (17 hours / 2 weeks), then multiply by 5 weeks.

Front

What is the relationship between cost and quantity in a proportional relationship?

Back

As the quantity increases, the total cost increases at a constant rate.

Front

How do you determine how many items you can buy with a certain amount of money?

Back

Set up a proportion based on the cost of a known quantity and solve for the unknown quantity.

Front

What is the formula for finding the total cost when given the price per item?

Back

Total Cost = Price per Item x Number of Items.