Worksheet with five percent word problems for math practice.

I need to solve the word problems on this worksheet. Let me examine each problem one by one.

First, I'll look at Problem 1: "The number of diners who eat at a restaurant decreased from 250 to 180. Find the percent of decrease."

This is a standard percent decrease problem. The formula is: (Original Amount - New Amount) / Original Amount × 100%.

So for this problem: (250 - 180) / 250 × 100% = 70 / 250 × 100% = 0.28 × 100% = 28%.

Let me move on to Problem 2: "A computer was purchased for $1,200. After some repairs, it depreciates in value and is now worth $1,100. What is the percent of decrease in its value?"

Using the same formula: (1200 - 1100) / 1200 × 100% = 100 / 1200 × 100% = 0.0833... × 100% ≈ 8.33%.

Now, Problem 3: "A report measures 110 mm. Calculate the decrease in percent if the length of the report is reduced to 99 mm."

Again, using the percent decrease formula: (110 - 99) / 110 × 100% = 11 / 110 × 100% = 0.1 × 100% = 10%.

For Problem 4: "Mr. Gomez purchases 60 pounds of hamburger meat. He placed an order for 80 pounds of hamburger meat. What is the percent of increase in the amount of meat?"

This is a percent increase problem. The formula is: (New Amount - Original Amount) / Original Amount × 100%.

So: (80 - 60) / 60 × 100% = 20 / 60 × 100% = 0.333... × 100% ≈ 33.33%.

Finally, Problem 5: "There were a total of 112 patients at an area care center. After a month of care, there were only 98 patients left. What is the percent of decrease in the number of patients?"

Using the percent decrease formula: (112 - 98) / 112 × 100% = 14 / 112 × 100% = 0.125 × 100% = 12.5%.

I have now solved all five problems on the worksheet.

Here are the solutions:

1. Percent decrease from 250 to 180: 28%
2. Percent decrease from $1,200 to $1,100: approximately 8.33%
3. Percent decrease from 110 mm to 99 mm: 10%
4. Percent increase from 60 pounds to 80 pounds: approximately 33.33%
5. Percent decrease from 112 patients to 98 patients: 12.5%