Proportion Word Problems

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. It can be expressed as a/b = c/d, where a, b, c, and d are numbers.

Front

How do you set up a proportion to solve a word problem?

Back

To set up a proportion, identify the two ratios that are being compared in the problem, and then write them as a fraction. Cross-multiply to solve for the unknown.

Front

What is the formula for finding the total amount needed when scaling a recipe?

Back

The formula is: Total amount needed = (Amount in original recipe / Number of servings in original recipe) * Desired number of servings.

Front

How do you calculate the rate of production in a word problem?

Back

The rate of production can be calculated by dividing the total output by the total time taken. For example, Rate = Total widgets produced / Total hours.

Front

What is the relationship between the number of pizzas and the amount of cheese needed in a recipe?

Back

The relationship is a direct proportion; as the number of pizzas increases, the amount of cheese needed increases at the same rate.

Front

How do you convert a recipe to make a different number of servings?

Back

To convert a recipe, multiply each ingredient by the ratio of the desired servings to the original servings.

Front

What is the significance of cross-multiplication in solving proportions?

Back

Cross-multiplication allows you to eliminate the fractions in a proportion, making it easier to solve for the unknown variable.

Front

How do you determine the total output of a machine over a different time period?

Back

To determine the total output, first find the rate of production, then multiply that rate by the new time period.

Front

What is the concept of scaling in recipes?

Back

Scaling in recipes refers to adjusting the quantities of ingredients to make more or fewer servings while maintaining the same proportions.

Front

How do you find the missing value in a proportion?

Back

To find the missing value, set up the proportion and use cross-multiplication to solve for the unknown.