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 4 out of 10 students like a game, how do you find out how many like it in a larger group?

Back

Use the ratio 4/10 and set it equal to x/total number of students, then solve for x.

Front

What is the formula for finding the total cost based on a per person cost?

Back

Total Cost = Cost per Person × Number of People.

Front

How do you estimate a number based on a sample?

Back

Use the ratio of the sample to the total population to estimate the number in the larger group.

Front

What is the relationship between weight and quantity in a proportion problem?

Back

Weight can be found by setting up a ratio of weight to quantity and using it to find the weight of a different quantity.

Front

How do you find the number of items wrapped if you know the tape used per item?

Back

Set up a proportion using the tape used for a known number of items to find the unknown number.

Front

What is the importance of understanding ratios in real-life situations?

Back

Ratios help compare quantities and make decisions based on proportional relationships.

Front

How can you use proportions to solve for an unknown variable?

Back

By setting up a proportion and cross-multiplying to isolate the variable.