I want to check my answers

1. The town population increased from 80,000 to 90,000 in ten years. What was The percent of increase?
2. A $15 item on sale for $12 is marked down what percent
3. If Jenna buys an item for 40% off the regular price will he pay more or less than half price
4. If Jenna saves $20 buying an item for 40% off the regular price then what were the regular price and sales price ?

I'll be glad to check your answers. Please post them.

20%

To check your answers for these questions, let's go through each one and explain how to find the answer step by step:

1. The town population increased from 80,000 to 90,000 in ten years. What was the percent of increase?

To find the percent increase, you can use the following formula:
Percent Increase = [(New Value - Old Value) / Old Value] * 100

In this case, the old value is 80,000 and the new value is 90,000. Plugging these values into the formula, we get:
Percent Increase = [(90,000 - 80,000) / 80,000] * 100
Percent Increase = (10,000 / 80,000) * 100
Percent Increase = 0.125 * 100
Percent Increase = 12.5%

So, the percent of increase in the town population is 12.5%.

2. A $15 item on sale for $12 is marked down what percent?

To find the percent the item is marked down, you can use the following formula:
Percent Marked Down = [(Original Price - Sale Price) / Original Price] * 100

In this case, the original price is $15 and the sale price is $12. Plugging these values into the formula, we get:
Percent Marked Down = [($15 - $12) / $15] * 100
Percent Marked Down = ($3 / $15) * 100
Percent Marked Down = 0.2 * 100
Percent Marked Down = 20%

So, the item is marked down by 20%.

3. If Jenna buys an item for 40% off the regular price, will she pay more or less than half price?

To answer this, we need to compare the discounted price to half of the regular price. Let's assume the regular price is $100.

If Jenna buys the item for 40% off, she would pay 60% of the regular price:
Discounted Price = 60% of Regular Price = 0.6 * $100 = $60

Comparing this to half of the regular price ($50), we can see that Jenna will pay less than half price.

4. If Jenna saves $20 buying an item for 40% off the regular price, what were the regular price and sale price?

To determine the regular price and sale price, we can use the following information:

Let "x" be the regular price.
The sale price is 40% off, which means Jenna pays 60% of the regular price.

So, we can set up the following equation:
x - 0.4x = $20

Simplifying the equation, we have:
0.6x = $20

Dividing both sides of the equation by 0.6, we get:
x = $20 / 0.6
x = $33.33 (rounded to two decimal places)

So, the regular price was approximately $33.33, and the sale price was $20 less than that, which is $13.33 (also rounded to two decimal places).

I hope this helps you to check your answers! Let me know if you have any other questions.