Can you please help me with equation problems, thanks.?

Question

1. A video game system that sold for $135 is discounted 24%. What is the net price?
$135= 24% x d
$5.625=d

2. A guitarist earns a royalty of 22% of the selling price of a record album . If he earns $2.64 on each record album sold, what is the selling price of the album?
22%/100 x $2.64= $0.005808

3. The publisher of Lost in the Jungle receives $12.60 from each copy sold. The remaining portion of the $15 selling price goes to the author. What royalty rate does the author earn?
$12.60/100 x $15/b= $12.60/1500
b=0.0084= 84%

4. The creator of a new game receives a royalty of 8% of the selling price of each game sold. The company that produces the game receives the remaining amount. If the company receives $10.10 per game, what is the selling price of the game?
8%/100 x $10.10/b= 1000/8
b= 125

5. A radio that originally sold for $59.85 was discounted 15% in April. In May, the sale price was discounted 25%. What is the new sale sale price in May? 15/100= x/59.85 25/100

Can you please correct all of them and if it's wrong please tell me the right one so, that I can study and work them all out. THANKS!

Answer 1

1. net price = $135 - 24% x $135
= 135 - (0.24 x 135)
= 135 - 32.4
= $ 102.6

2. $2.64 = 22% x album price
album price = $ 2.64 / 22%
= $ 2.64/0.22
= $ 12

3. royalty = $ 12.60 / ($ 12.60 + $ 15) x 100%
= 12.60 / ( 27.60) x 100%
= 45.65 %

4. selling price = $ 10.10 + 8%x selling price
selling price - 8% selling price = $10.10
92% selling price = $ 10.10
0.92 selling price = $ 10.10
selling price = $ 10.98


5. April price = $ 59.85 - 15% x $ 59.85
= $ 59.85 - (0.15 x $ 59.85)
= $ 59.85 - $ 8.98
= $ 50. 87
May price = $ 50.87 - 25% x $ 50.87
= $ 50.87 - (0.25 x $ 50.87)
=$ 50.87 - $ 12.72
= $ 38.15

Answer 2

1. You calculated the discount, not the price you would pay after the discount. If an item is discounted 24%, that means you pay 76% (100% - 24% = 76%) of the original price. So you simply multiply the original price by (76/100) to get the price you pay.

(76/100) * $135.00 = x. Calculate x.

2. On this problem, you calculated the percentage on the royalty, not the selling price of the album. $2.64 is the 22% royalty he is paid on each album, not the selling price of the album.

So, $2.64 = (22/100) * x. Find x, the selling price, by manipulating this equation algebraically.

3. If a book costs $15.00 and the publisher receives $12.60 from each copy sold, then the author receives what's left after the publisher takes his percentage. So, the author receives $15.00 - $12.60 for each book sold. I'll let you calculate the difference. After you find that, then you need to find what percentage of the selling price the author receives. So you need to set up an equation like this:

($15.00 - $12.60) / $15.00 = x / 100. Solve for x algebraically.

4. In this problem, you again calculated a percentage on a royalty (the producer's). What you want is the selling price of the game.

If the creator of the game receives 8% of the selling price for a game, then the producer receives (100% - 8%) = x% of the selling price. I'll allow you to determine x. After you find x, you need to set up an equation which computes the selling price. If the producer of the games receives x%, then we can find the selling price using this equation:

$10.10 / (selling price) = x / 100.

Remember, x is the percentage from above that you need to figure out. Once you find x, then you will have only one variable in the equation above, the selling price. Find x and the selling price.

5. I'm not quite sure what you were doing here, but I can tell you that this problem presents sort of a sticky wicket because it can be interpreted in more than one way. Do they mean that when the second discount was applied that it was to the original price, or that it was applied to the first discounted price? I can tell you from experience that most retailers discount the discounted price, not the original price when a second discount is taken. That's because it reduces their loss, since they are taking a reduction on a smaller dollar amount. So, I will proceed on the assumption that they are discounting the first discounted price.

If the radio was discounted 15% the first time, then the price after discount was 85% (100% - 15%) of the original price. We can represent the first discounted price, which we'll call D­', like this:

D' = $59.85 * (85/100)

Then the second discounted price, which we'll call D", is 75% (100% - 25%) of D'. So, we can represent D" this way:

D" = D' * (75/100)

But D' = $59.85 * (85/100), so we can throw that value for D' in the last equation. Then the last equation becomes:

D" = [$59.85 * (85/100)] * (75/100) = [($59.85) * (85) * (75)] / 100².

Calculate D" to determine the final sale price in May.

Hope this helps. And remember, you can never go wrong when you study mathematics. So keep up the good work. It will pay off later in your life.

Answer 3

1. A video game system that sold for $135 is discounted 24%. What is the net price?
$135(76%) = net price
135(0.76) =

2. A guitarist earns a royalty of 22% of the selling price of a record album . If he earns $2.64 on each record album sold, what is the selling price of the album?
(22%) x = $2.64
x = 2.64/0.22

3. The publisher of Lost in the Jungle receives $12.60 from each copy sold. The remaining portion of the $15 selling price goes to the author. What royalty rate does the author earn?
(15 - 12.6)/15 = x/100

4. The creator of a new game receives a royalty of 8% of the selling price of each game sold. The company that produces the game receives the remaining amount. If the company receives $10.10 per game, what is the selling price of the game?
92%x = $10.10
x = 10.1/0.92

5. A radio that originally sold for $59.85 was discounted 15% in April. In May, the sale price was discounted 25%. What is the new sale sale price in May?
(85%)59.85 = April price
(75%)April price = May price

Answer 4

OK you are on the right track
1) $135/$x =100%/24%; cross multiply: $135*24 =100x, then divide both sides by 100; x=32.40, which makes sense since for every 100 dollars the discount would be 24 dollars.
2)So set it up as a ratio like #1: 22 % is to 100% as $2.64 is to x;written as 22/100 = 2.64/x, again cross multiply and solve for x.
Hint, since the royalty is ~ 1/4 the price of the album, the album must cost ~4 times the royalty!
3)NoL (15-12.60)/15 =x/100
4)Almost, but you know the company receives 92%
5)so set up a ratio 59.85/100=x/15, cross multiply and solve for x, then repeat with the new price/100 =x/25
Good luck!

Answer 5

do your own work.