Question 810277
nickels=x quarters=y
x+y=13 coins
now keep in mind that quaters are .25 and nickels are .05.
.05x+.25y=1.25
solve the first equation for y then plug into the above equation to find the amount of nickels.
{{{y=13-x}}}
{{{.05x+.25(13-x)=1.25}}}
{{{.05x+3.25-.25x=1.25}}}
{{{-.20x+3.25=1.25}}}
{{{-.20x=-2.00}}}
{{{x=10}}}
we now know we have 10 nickels.
plug 10 into the first equation to find quarters
{{{10+y=13}}}
we have 3 quarters and 10 nickels.