Question 48958
pennies = p
nickels = n
{{{p + n = 52}}} expressed as: {{{p = 52 - n}}}
Combine with: {{{0.01p + 0.05n = 1.20}}}
{{{0.01p + 0.05n = 1.20}}}
{{{0.01(52 - n) + 0.05n = 1.20}}}
{{{0.52 - 0.01n + 0.05n = 1.20}}}
{{{0.04n = 0.68}}}
{{{n = 17}}}
Plug with: {{{p = 52 - n}}}
{{{p = 52 - 17 = 35}}}
35 pennies and 17 nickels