The easiest way to do percentage changes is to keep them all in one equation. Therefore, we would say that an increase of 15% is the same as multiplying the original value by 1.15. Likewise, we would say that a discount by 35% is the same as multiplying the original by .65.

For our problem, let the hat cost X dollars originally. Therefore, after its increase, it costs 1.15X dollars. Now, we can consider this new price as the whole to which the discount will be applied. Therefore, a 35% reduction is (1.15X) * 0.65.

Simplifying, we get 0.7475, or 74.75%.

For these type of questions, it is always best to pretend that we are beginning with a $100 item and to calculate from there.

If an item that is $100 is discounted by 35%, and then another 10%, the new price is 58.5%.

The price difference (discount) is $41.5 for every $100, or:

The total discount is 41.5%.

First, we find how much Mr. Phoenix made in his most recent movie

Then, we decrease this by fifteen percent according the to the formula:

Year 2 Percentage increase =

(Year 2 – Year 1) / Year 1 =

(650 – 500) / 500 = 150 / 500 = .3 = 30.0%

Year 3 Percentage increase =

(Year 3 – Year 2) / Year 2 =

(750 – 650) / 650 = 100 / 650 = .154 = 15.4%

The key here is to find 25% of the total class (36), and subtract that value from the total (36). You can also look at the problem from reversely and find how many students are in the remaining 75% of the total 36. Remember to change the percent to a decimal for easy calculation. 36- 0.25(36)= 27 or 0.75(36)=27

"Is" means an equal sign and "of" means multiplication.

0.01z * 240 = 12 and solving for z = 0.05 or 5%

Let's consider our data in a summary fashion:

The day begins with 24 hours.  After sleeping 6 of those, the person has 18 remaining hours.  Of those, 10% are given to vital tasks every day.  That means that he uses 18 * 0.1 or 1.8 hours each day for these tasks.  Therefore, he has 16.2 hours remaining.  This will be free time on Saturday and Sunday.

During the week, however, he uses 75% of his waking time in work activities.  This means that he spends 18 * 0.75 or 13.5 hours.  He therefore has 16.2 - 13.5 or 2.7 hours.

Now, to figure out the total amount for the week, he has 16.2 for the two weekend days and 2.7 for the five week days, or: 16.2 * 2 + 2.7 * 5 = 32.4 + 13.5 = 45.9hours.  This is equal to 45 hours and 0.9 * 60, or 54, minutes.

We have to consider each case:

15 Yellow, 32 Green, 10 Red

Total: 15 + 32 + 10 = 57; Yellow and Green: 15 + 32 = 47.

Percentage that are Yellow and Green = 47/57, or approximately 82.47%

12 Yellow, 32 Green, 2 Red

Total: 12 + 32 + 2 = 46; Yellow and Green: 12 + 32 = 44.  

Percentage that are Yellow and Green = 44/46 or approximately 95.65%

3 Yellow, 1 Green, 4 Red

Total: 3 + 1 + 4 = 8; Yellow and Green: 3 + 1 = 4.  Percentage that are Yellow and Green = 4/8 or 50%.

13 Yellow, 32 Green, 15 Red

Total: 13 + 32 + 15 = 60; Yellow and Green: 13 + 32 = 45  

Percentage that are Yellow and Green = 45 / 60 or 75%. This is the answer.

Put into an equation where x is the number of games, 0.6 * x * 75 = 625. X = 13.9, the answer is 14.

Set up a ratio where  and solve for  through cross multiplication.