Elementary Algebra Review Part 29

In "Elementary Algebra Review Part 29," the lesson focuses on solving percent mixture and percent increase problems using algebra. In the first problem, the task is to find how much water to add to 50 grams of pure acid to make a 40% acid solution. By setting a variable for the amount of water, finding the amount of pure acid in each container, and setting the two equal to each other, the lesson demonstrates how to solve for the variable and check the answer. The second problem involves finding the new price of a book that increased by 10% from its original price. By setting a variable for the new price and using the original price and the percent increase to set up an equation, the lesson shows how to solve for the new price and answer the word problem.

Writing and solving an equation for a percent mixture problem and a percent increase problem.

• How do you write and solve an equation for a percent mixture word problem?
• What does it mean to define a variable?
• How do you check your answer to a percent mixture word problem?
• How do you draw a picture to solve a percent mixture word problem?
• How many grams of water must be added to 50 grams of pure acid to make a solution that is 40% acid?
• How do you solve 0 + 50 = .4(w + 50)?
• How can you solve an equation by eliminating decimals from the beginning?
• If the price of a book is increased by 10%, and the book originally cost $89.90, what is the new price of the book?
• How do you solve a percent increase problem by defining a variable and writing an equation?
• How do you solve 89.90 + .1(89.90) = n?