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SOLUTION

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:

[tex]N+Q=130------Equation\text{ 1}[/tex]

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:

[tex]0.25Q+0.05N=15.90------Equation\text{ 2}[/tex]

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

[tex]\begin{gathered} Equatio\text{ 2}\times100\text{ will give:} \\ 25Q+5N=1590----Equation\text{ 3} \end{gathered}[/tex]

STEP 5: Make N the subject of Equation 1

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