Say cost of each pair of socks = y and pairs of socks = x.

Since [quantity x cost per item = total cost]:

First, xy = 50.

Secondly, (x + 5) [y (1 - 20%)] = 50

Simplify the second equation:

 80%y(x + 5) = 50 or

 0.8xy + 4y = 50

Insert xy =50 here.

.8(50) + 4y = 50

40 + 4y = 50 or 4y = 10

Thus y = 10/4 = 5/2

Need to find x = pairs of socks. 

xy = 50 = x(5/2)

So 5x = 100 or x = 20

This problem requires you to work backwards from stop 5 to the passengers present at stop 1. If 2 person gets out at stop 5, that means there were 3 people on board at stop 5. This means there were 9 people present at stop 4 (9 total, 2/3 (6) got off, leaving the 3 for stop 5), 27 people present at stop 3 (27 total, 2/3 (18) got off, leaving 9 for stop 4), 81 people present at stop 2 and 243 passengers present at stop 1. That is, the number of passengers on board the train at any stop follows a logarithmic reduction along powers of three, from 3⁵ at stop 1 to 3¹ at stop 5.

We need to convert 5 hours into minutes. There are 60 minutes in an hour, so 5 hours = 5 * 60 minutes = 300 minutes. Therefore, you go 20 meters/minute for 300 minutes, or 20 * 300 = 6000 meters.

21.21/ 4.25 = 5 pounds paid for.  Since a pound is given for every 2 pounds sold, that is 5/2 = 2.5 so an extra 2 pounds is given to Lauren, totaling 7 pounds.

Since Bob and Nancy work at the same rate, each person can finish  of the job in 3 hours. Because 45 minutes is  of 3 hours, Bob working alone would get  of the job done, .

To find the part from the whole, just take the percentage and turn it into an algebra problem.

In decimal form, 20% is .2.  To turn it into an equation, recognize that "is" means equal to and "of" means multiply.

Therefore, "17% of 325" becomes (.17)(325) = X.

A way of solving this without a calculator:

10% of 325 is easy to find: 32.5.

20% will be twice as much as 10%, so 65.

1% is easy to find: 3.25.

3% is three times 1%: 9.75.

20% – 3% = 17%

65 – 9.75 = 55.25

To begin with, you know that there are , or % that are warriors.  This means that % of  are warriors.  Remember, translate of as multiplication and "are" / "is" as equals.  This gives you:

 warriors.

Based on our data, we know that , or  percent of the students have green eyes.  Explicitly written, this is:  percent of  students are green-eyed.  

Remember that we translate "of" as multiplication and "is" / "are" as equals.  Therefore, this is:

Let  represent the number of liters of the 40% solution. Then it follows that  liters of the 40% solution plus 4 liters of the 10% solution will equal (x+4) liters of a 25% solution. This can be represented by the following equation:

Now solve for x:

You will need 4 liters of the 40% solution in order to make a mixture that is 25% alcohol by volume

To begin, notice that there is a  ratio between the water in your container and the water specified by the mix of the components.  Given that there are  total parts in your solution, this means that you can set up this equation:

Multiplying both sides by 8, you get:

There are  total gallons of solution.