#### Explanation:

A quarter is $0.25, let's call that value q. 6q =$1.5

A nickel is $0.05, and we have an unknown n amount of them. "Final equation: "$1.5 + (n * $0.05) =$3.15

Now we solve the equation, substracting $1.5 on both sides: (n *$0.05) = $1.65 Dividing both sides by $0.05:

$n = 33$

Aug 3, 2017

See a solution process below:

#### Explanation:

We can write and equation for this problem as:

t = $0.25q +$0.05n

Where:

$t$ is the total value of the coins, $3.15 for this problem. $q$is the number of quarters multiplied by their value of$0.25. This is $6$ for this problem.

$n$ is the number of nickels multiplied by the value of $0.05. This is what we are solving for in this problem. Substituting what we know and solving for $n$gives: $3.15 = ($0.25 * 6) +$0.05n

$3.15 =$1.50 + $0.05n $3.15 - color(red)($1.50) = -color(red)($1.50) + $1.50 +$0.05n

$1.65 = 0 +$0.05n

$1.65 =$0.05n

($1.65)/color(red)($0.05) = ($0.05n)/color(red)($0.05)

(color(red)(cancel(color(black)($)))1.65)/color(red)(color(black)(cancel(color(red)($)))0.05) = (color(red)(cancel(color(black)($0.05)))n)/cancel(color(red)($0.05))

$\frac{1.65}{\textcolor{red}{0.05}} = n$

$33 = n$

$n = 33$

Jenny has $\textcolor{red}{33}$ nickels along with her $6$ quarters