ALP Math
Index Assessments Lessons Vocabulary Rubrics Home
Federal Way Public Schools  
Number Sense
Lesson 5
Estimation
  Objectives/Vocab/Tips > Examples 1 | 2 | 3 > Practice: 1 | 2 | 3 | 4 > Reflection

Example 3:

A student buys a used book for his college class for $18.75. This is 55% of the original price of the book.

  • What is the best estimate for how much the book cost originally?
  • Explain in detail how you found your answer using words, numbers, and/or pictures.
  1. $40
  2. $45
  3. $50
  4. $55

The correct answer to this problem is A, $40. Here is one way to solve this problem.

Begin by making the numbers we are working with easier to work with in our head. So round the cost of the book to $20 and the percent of the original price to be 50%. Notice we round down to 50% instead of up to 60%? You want to do this because you should notice that 20 and 5 are much easier to work together than 20 and 6. Let's continue on so you see why.

To solve this percent problem, you set up your equation to solve as:

$20 (is) = X (original price) times 50%

Let's rewrite it so we can solve the problem.

20 = X * .50

Solving for X, you divide both sides by .50, which you now you can see why we used .50 instead of .60. 5 divides into 20 evenly.

20 divided by 5 equals 4, but we need to move our decimal point one more place to the right because of the decimal point in the divisor.

Our answer becomes 40 or $40 would be about the original cost of the book.

For your final answer to this problem, you need to remember that you need explain your solution as well as give the final answer. This would be a 2 point question so be sure to state the answer and then an explanation of how you solved the problem. One possible answer could be:

The answer to this problem is letter A, $40. I found this answer by rounding the price of the book to $20 and the percent of the original cost to 50%. I then divided 50% into $20 to find my answer. $20 divided by 50% equals $40. And that is my answer!

 

©Internet Academy