Question 214438
Let N = the number of nickels and Q = the number of quarters.
1). Q+N = 36 "...she has a total of 36 coins."
2). (0.25)Q+(0.05)N = $4.60 "Karla has $4.60 in nickels and quarters,..."
Rewrite equation 1) as: Q = 36-N and substitute into equation 2).
2a). {{{(0.25)(36-N)+(0.05)N = $4.60}}} Simplify.
2b). {{{9-0.25N+0.05N = 4.60}}}
2c). {{{9-0.2N = 4.60}}} Subtract 9 from both sides.
2d). {{{-0.2N = -4.4}}} Divide both sides by -0.2
2e). {{{N = 22}}} and:
{{{Q = 36-N}}}
{{{Q = 36-22}}}
{{{Q = 14}}}
Karla has 14 quarters and 22 nickels.