Question 758570

A piggy bank contains {{{30 coins}}} ,all nickels {{{n}}} and dimes {{{d}}}.

so, {{{n+d=30}}}

if there are {{{4}}} times as many nickels  as dimes, then {{{4n=d}}}

substitute in {{{n+d=30}}}

{{{n+4n=30}}}....solve for {{{n}}}

{{{5n=30}}}

{{{n=30/5}}}

{{{n=6}}}

find dimes

{{{4*6=d}}}

{{{d=24}}}

 the total value of the coins: where nickel {{{n=5}}} cents and dime {{{d=10}}} cents

{{{24*10+6*5=240+30=270}}} cents