Question

Production of Quarters. In 2013, the U.S. Mint produced 1455 million quarters. This was a 156% increase over the number of quarters produced in

2012. (Source: U.S. Mint) How many quarters were produced in 2012?

Answer 1

Approximately 567.58 million quarters were produced in 2012.

Step-by-step explanation:

To find out how many quarters were produced in 2012, we need to calculate the original number before the 156% increase. Let's call the number of quarters produced in 2012 'x'.

Since the increase was 156%, we can set up the following equation:

x + 1.56x = 1455 million quarters

Combining like terms, we get 2.56x = 1455 million quarters.

Dividing both sides by 2.56, we find that x, the number of quarters produced in 2012, is approximately 567.58 million quarters.

Answer 2

To find the number of quarters produced in 2012, we can use the given information and percentage increase. Solving the equation, we find that approximately 357.7 million quarters were produced in 2012.

Step-by-step explanation:

To find the number of quarters produced in 2012, we need to solve the equation:

2013 million quarters = 1455 million quarters + (156% increase) x (number of quarters produced in 2012)

First, we convert the percentage increase to a decimal: 156% = 156/100 = 1.56

Next, we rearrange the equation to find the number of quarters produced in 2012:

Number of quarters produced in 2012 = (2013 million quarters - 1455 million quarters) / 1.56

Calculating the result:

Number of quarters produced in 2012 = (558 million quarters) / 1.56 = 357.7 million quarters

Therefore, approximately 357.7 million quarters were produced in 2012.