Question 127644
{{{n}}} = number of nickels
{{{q}}} = number of quarters
{{{n + q = 130}}}
{{{n = 130 - q}}}
{{{5n + 25q = 1590}}}
Notice that everything in this equation is expressed in pennies
{{{5(130 - q) + 25q = 1590}}}
{{{650 - 5q + 25q = 1590}}}
{{{20q = 1590 - 650}}}
{{{20q = 940}}}
{{{q = 47}}}
{{{n = 130 - q}}}
{{{n = 130 - 47}}}
{{{n = 83}}}
Eric has 83 nickels and 47 quarters
check:
{{{5n + 25q = 1590}}}
{{{5*83 + 25*47 = 1590}}}
{{{415 + 1175 = 1590}}}
{{{1590 = 1590}}}
OK