Question

Eric has 130 coins consisting of Nickels and quarters. The coins combined value comes to $15.90. Find out how many of each coins Eric has.

Answer 1

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Represent the two coins

Let N represents Nickels

Let Q represents quarters

STEP 2: Get the first equation

Equation 1: Eric has 130 coins consisting of quarters and nickels. This is given as:

`N+Q=130------Equation\text{ 1}`

STEP 3: Get the second equation

The total value of all of the coins is $15.90. Each quarter represents .25 and each nickel represents .05, then the second equation is:

`0.25Q+0.05N=15.90------Equation\text{ 2}`

STEP 4: Multiply Equation 2 by 100 to remove the decimals

`\begin{gathered} Equatio\text{ 2}*100\text{ will give:} \\ 25Q+5N=1590----Equation\text{ 3} \end{gathered}`

STEP 5: Make N the subject of Equation 1