Question 1071343
VARIABLES
n nickels
q quarters


EQUATIONS
{{{system(n+q=44,0.05n+0.25q=5)}}}


SOLVE
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Multiply the money count equation by 20 to get simple whole number coefficients and constant.
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{{{n+5q=100}}}
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The system to solve should now be  {{{system(n+q=44,n+5q=100)}}} and n is easily eliminated to quickly find q.
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{{{4q=56}}}
{{{highlight(q=14)}}}-------number of quarters....