Equating different money amounts

Each country has its own monetary system with its set of coins and other currency. Often, the money is imprinted with pictures of historic figures and places. In the United States, for example, each state is honored (or soon will 

The Problem You want to change your 5 bill into nickels or quarters. How many nickels and how many quarters are needed to equal 5  

A nickel is worth 54, and a quarter is worth 254. Five dollars is equal to 5004. To determine the number of nickels in 5, divide 5004 by 54 500 -s- 5 = 100 nickels. The number of quarters is determined by dividing 500 cents by 25 

The Problem A roll of quarters from the bank equals 10, a roll of dimes equals 5, a roll of nickels equals 2, and a roll of pennies equals 504. How many rolls of dimes is worth the same as 20 rolls of nickels  

Sort through the information, first. You only need to know about the dimes and nickels. Determine the total of 20 rolls of nickels. Then figure out how many rolls of dimes you can get for that amount of money. Twenty rolls of nickels is 20 x 2 = 40. Divide 40 by 5 40 5 = 8 rolls of dimes. 

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There are a variety of problem-solving strategies that you will use as you prepare for and take the AP test. Dimensional analysis, sometimes known as the factor label method, is one of the most important of the techniques for you to master. Dimensional analysis is a problem-solving technique that relies on the use of conversion factors to change measurements from one unit to another. It is a very powerful technique but requires careful attention during setup. The conversion factors that are used are equalities between one unit and an equivalent amount of some other unit. In financial terms, we can say that 100 pennies is equal to 1 dollar. While the units of measure are different (pennies and dollars) and the numbers are different (100 and 1), each represents the same amount of money. Therefore, the two are equal. Let s use an example that is more aligned with science. We also know that 100 centimeters are equal to 1 meter. If we express this as an equation, we would write ... 

Please do not be frightened by calculus. In this equation, d refers to difference, and it can be read as the difference in the amount of a pollutant divided by the difference per unit time. In other words, this is the flow rate at which the amount of the pollutant increases or decreases. A common derivative that we are all used to dealing with is dx/dr, which is the change in distance per unit time. This is called speed, and every car in the world is equipped with a gauge to measure this derivative. In fact, many political units make money by collecting fines if your car exceeds specified values of this derivative and if the policeman catches you. The posted limit of this derivative on the Eisenhower Interstate System is usually 65 or 70 miles/h. 

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