Hi Renee;
total=$4.10
quantity of dimes=x
dimes=0.10x
quarters=0.25(x+4)=0.25x+1.00
nickles=0.05(3)(x+4)=0.15x+0.60
4.10=0.10x+0.25x+1.00+0.15x+0.60
Combine like terms...
4.10=0.50x+1.60
Let's subtract 1.60 from both sides...
4.101.60=0.50x+1.601.60
2.50=0.50x
Divide both sides by 0.50...
1.50/0.50=(0.50x)/0.50
5=x
quantity of dimes=5
quantity of quarters=9
quantity of nickles=27
Let's check our work...
4.10=[(0.10)(5)]+[(0.25)(9)]+[(0.05)(27)]
4.10=0.50+2.25+1.35
4.10=4.10
2/13/2014

Vivian L.