1. The towns population increased from 80,000 to 90,000 in ten years. What was the percent of increase? I didn't understand this one.
2. A $15 item on sale for $12 is marked down what percent? 20%
3. If Jenna buys and item for 40% off the regular price, will she pay more or less than half the price? Less than
4. If Jenna saves $20 buying an item for 40% off the regular price, then what were the regular price and the sales price? Regular price is $50 and sales price is $30
This is what I got. Can someone please check this and if it's wrong please tell me my mistake and how to fix it. The answer will be helpful to make sure I get it right but please put in how to actually fix it. I really didn't understand this lesson
1.
90,000 - 80,000 = 10,000
100(10,000 / 80,000) = 12.5% increase
2. Yes
3. No
4. Yes
1. The town's population increased by 10,000 over a period of ten years. To find the percent of increase, you can use the formula: (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: (90,000 - 80,000) / 80,000 * 100 = 10,000 / 80,000 * 100.
Simplifying further, we have 1/8 * 100 = 12.5%. So, the percent increase is 12.5%.
2. To calculate the percent by which the price has been marked down, you can use the formula: (Original price - Sale price) / Original price * 100.
In this case, the original price is $15 and the sale price is $12. Plugging in these values, we get: (15 - 12) / 15 * 100 = 3 / 15 * 100.
Simplifying further, we have 1/5 * 100 = 20%. Thus, the item is marked down by 20%.
3. If Jenna buys an item for 40% off the regular price, she will be paying only 60% of the original price. Therefore, she will be paying less than half the price, as 60% is less than 50%.
4. If Jenna saves $20 buying an item for 40% off the regular price, we can set up an equation to solve for the regular price.
Let's assume the regular price is x. Jenna buys it at a discount of 40%, so she pays 60% of the regular price, which is 0.6x.
We know that 0.6x = x - $20. Solving this equation, we have:
0.6x = x - 20
0.4x = 20
x = 20 / 0.4
x = 50
Therefore, the regular price is $50. Since Jenna buys it for 40% off, the sale price is 60% of $50, which is $30.
I hope this clarifies the answers for you! Let me know if you have any more questions.
1. To calculate the percent increase, you can use the following formula:
Percent Increase = ((New Value - Old Value) / Old Value) * 100
In this case:
New Value = 90,000
Old Value = 80,000
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 increase in the town's population is 12.5%.
2. To calculate the markdown percentage, you can use the following formula:
Markdown Percentage = ((Original Price - Sale Price) / Original Price) * 100
In this case:
Original Price = $15
Sale Price = $12
Markdown Percentage = (($15 - $12) / $15) * 100
Markdown Percentage = ($3 / $15) * 100
Markdown Percentage = 0.2 * 100
Markdown Percentage = 20%
So, the item is marked down by 20%.
3. If Jenna buys an item for 40% off the regular price, she will pay less than half the price. This is because 40% off means the price is reduced by 40%, which is more than half (50%) of the original price.
4. To find the regular price and sales price, you can use the following steps:
Let's assume the regular price is represented by x.
Regular Price - 40% of Regular Price = Sales Price
x - 0.4x = $30 (since Jenna saves $20 buying the item)
Simplifying the equation:
0.6x = $30
Dividing both sides by 0.6
x = $30 / 0.6
x = $50
So the regular price is $50, and the sales price is $30.
I hope this helps clarify the answers for you! Let me know if you have any further questions.
1. To calculate 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. Let's plug these values into the formula:
Percent Increase = ((90,000 - 80,000) / 80,000) * 100
= (10,000 / 80,000) * 100
= 0.125 * 100
= 12.5%
Therefore, the percent increase in the town's population is 12.5%.
2. To calculate the percent discount, you can use the following formula:
Percent Discount = ((Original Price - Discounted Price) / Original Price) * 100
In this case, the original price is $15 and the discounted price is $12. Let's plug these values into the formula:
Percent Discount = (($15 - $12) / $15) * 100
= ($3 / $15) * 100
= 0.2 * 100
= 20%
Therefore, the item is marked down by 20%.
3. If an item is bought for 40% off the regular price, it means that the purchaser is paying only 60% of the original price. Since 60% is less than 100%, Jenna will be paying less than the full price. So, she will pay less than half the price.
4. Let's calculate the regular price and sales price based on Jenna's savings of $20.
First, we know that Jenna saved $20, which is the difference between the regular price (RP) and the sales price (SP).
RP - SP = $20
We also know that Jenna bought the item for 40% off, so she paid only 60% of the regular price.
SP = 60% of RP
= 0.60 * RP
Substituting SP in terms of RP into the first equation:
RP - (0.60 * RP) = $20
0.40 * RP = $20
RP = $20 / 0.40
RP = $50
So, the regular price is $50.
Now, let's calculate the sales price (SP):
SP = 0.60 * RP
= 0.60 * $50
= $30
Therefore, the regular price is $50 and the sales price is $30.