Question

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Answer 1

someone please help asap

Answer 2

Try doing both calculations and see what you end up with.

Answer 3

can you walk me through the calculations? i am so rusty on this work even though it's possible the EASIEST

Answer 4

Book costs $28.50

Alex calculates 35% of $28.50 to find the discount.
He subtracts the discount from $28.50 to find the discounted price,
Then he calculates 10% of the discounted price to find the tax.
Then he adds the tax to the discounted price.

Lara calculates 65% of the $28.50 to find the discounted price.
She then calculates 110% of the discounted price to find the price with tax.

Answer 5

Then we have to find out if both did the correct calculations, and if they have enough money to pay for the discounted book with the tax added to it.

Answer 6

Ok, let's start from the beginning.
Let's go over Alex's calculations step by step.

Answer 7

The book costs $28.50.
We need to find 35% of $28.50 and subtract it from $28.50.
To find a percent of a number, just change the percent to a decimal by dividing the percent by 100.
Then multiply the decimal by the number.

Answer 8

What is 35/100 = ?

Answer 9

0.35

Answer 10

Good.
35% is 0.35 as a decimal.
Now multiply 0.35 by $28.50.
What is 0.35 * 28.50 = ?

Answer 11

9.975

Answer 12

Good.
Since we are dealing with money, let's round it off to $9.98.
The 35% discount on $28.50 is $9.98.
Now we need to find the discounted price, so what is
$28.50 - $9.98 = ?

Answer 13

18.52

Answer 14

Good.
Now we need one more set of calculations for Alex.
We need to add the 10% tax.
What is 10% of $18.52?
Remember to do what we did before.
To find a percentage of a number, just divide the percent by 100 and multiply by the number.
What is 10% of 18.52 = ?

Answer 15

0.01852

Answer 16

No.
10% is 10/100 = 0.1
0.1 * 18.52 = 1.852
Ok?

Answer 17

Woops okay.

Answer 18

Last step for Alex.
We can round off the tax to $1.85
Now we add the tax to the discounted price.
What is $18.52 + $1.85 = ?

Answer 19

$20.37

Answer 20

Good.
Now we can already answer a few questions.
First, Alex did his calculations correctly.
He did exactly what we did, and that is one correct way of finding the final price of the book (discounted & with added tax).
Also, since he has $21 to spend, he has enough money for the book.

Answer 21

Now we need to see what Lara did, and see if it's correct.

Answer 22

Lara did a much simpler calculation.
She calculated 65% of the price to find the discounted price.
Then she calculated 110% of the discounted price to add the 10% tax.
Is she correct?

Answer 23

Remember that when you deal with percentages, an entire amount is considered to be 100%.
100% represents the whole.
Ok?

Answer 24

Okay!

Answer 25

0.35

Answer 26

The book's original price before the discount is the whole price.
That means $28.50 is 100% of the book's price.
The discount is 35% of the book's original price. If the book costs 100% of its price and you subtract 35% of its price from 100%, what percent of the book's price is the discounted price? What is 100% - 35% = ?

Answer 27

0.65

Answer 28

Correct.
The discounted price is 65% of the book's price.
Since 65% = 65/100 = 0.65, you now multiply
0.65 * 28.50 to find the discounted price.
What is 0.65 * $28.50 = ?

Answer 29

It came out as 18.525

Answer 30

Correct.
Notice we get the same discounted price as Alex did above.
Now we can round off Lara's discounted price to $18.53

Answer 31

Now we need to add the tax using Lara's method.
Let's say we stat now again from the beginning.
Forget the original price of $28.50
Just think of Lara's discounted price of $18.53

Answer 32

The book costs $18.53
The whole amount is 100%.
We need to add 10% tax.
What is 100% + 10% = ?

Answer 33

1.1

Answer 34

Yes, 100% + 10% = 110% = 1.1
To find 10% added to 18.52, just do
1.1 * 18.52
What do you get?

Answer 35

20.372

Answer 36

Good.
We can now round that off to $20.37
Notice that Lara's calculations gave the same answer as Alex.
This shows two things.
Lara's calculations are also correct.
Lara also has enough money to buy the book.

Answer 37

So they're both correct?? How would I write this?

Answer 38

They are both correct.
They both have money for the book.

Answer 39

Can you explain what we did here??? a short summary

Answer 40

To show the work, show this:

Alex:
35% of 28.50 = 0.35 * 28.50 = 9.975 = 9.975
28.50 - 9.975 = 18.525
10% of 18.525 = 1.8525
18.525 + 1.8525 = 20.3775 = $20.38

Lara:
65% of 28.50 = 18.525
110% of 18.53 = 20.3775 = $20.38

Both calculations are correct and both Alex and Lara have enough money for the book.

Answer 41

THANK YOU VERY MUCH!

Answer 42

You are welcome.
I hope you learned with this problem that
1) to find a percentage of a number, divide the percent by 100 and multiply by the number.
2) to subtract a percentage discount from a price, you can do it two ways:
a) find discount by finding the percent and then subtracting from the price, or
b) subtract the percentage discount from 100% and find the percent of the price.
3) to subtract a percentage tax to a price, you can do it two ways:
a) find the tax by finding the percent and then adding it to the price, or
b) add the percentage of tax to 100% and find the percent of the price.