Question 175619
Let {{{p}}}= number of penniew
Let {{{n}}}= number of nickels
Let {{{q}}}= number of quarters
given:
(1) {{{n = 5p}}}
(2) {{{q = p + 6}}}
(3) {{{p + 5n + 25q = 252}}} (in terms of pennies)
Substituting:
(3) {{{p + 5*(5p) + 25*(p+6) = 252}}}
{{{p + 25p + 25p + 150 = 252}}}
{{{51p = 102}}}
{{{p = 2}}}
He has 2 pennies
check:
{{{n = 5p}}}
{{{n = 10}}}
{{{q = p + 6}}}
{{{q = 8}}}
(3) {{{2 + 5*10 + 25*8 = 252}}}
{{{2 + 50 + 200 = 252}}}
{{{252 = 252}}}
OK