Question 1151978
an equation form {{{30}}} more quarters and nickels?

I assume there is {{{30}}} more quarters than nickels

let the number of quarters be {{{x}}} and the number of nickels be {{{y}}}

{{{x=y+30}}}....eq.1

${{{q=0.25}}}
${{{n=0.05}}}


 {{{0.25x+0.05y=73.50}}}

{{{0.25(y+30)+0.05y=73.50}}}

{{{0.25y+7.5+0.05y=73.50}}}

{{{0.30y=73.50-7.5}}}

{{{0.30y=66}}}

{{{y=66/0.30}}}

{{{y=220}}}


{{{x=y+30}}}....eq.1

{{{x=220+30}}}

{{{x=250}}}

so, you have {{{250}}} quarters and {{{220}}} nickels

check:

{{{0.25*250+0.05*220=73.50}}}

{{{62.50+11=73.50}}}

{{{73.50=73.50}}}