Question 1136910


If Jason has {{{12}}} nickels and quarters in his pocket, and they have a combined value of 200 cents, how many of each coin does he have? 

let nickels be {{{n}}} and quarters {{{q}}}

If Jason has 12 nickels and quarters in his pocket, we have

{{{n+q=12}}} ......solve for {{{n}}}

{{{n=12-q}}}......eq.1


if they have a combined value of {{{200}}} cents, and since {{{1n=5c}}} and {{{1q=25c}}}, we have


{{{5n+25q=200}}}......substitute {{{n}}} from eq.1

{{{5(12-q)+25q=200}}}......solve for {{{q}}}

{{{60-5q+25q=200}}}

{{{20q=200-60}}}

{{{20q=140}}}

{{{q=140/20}}}

{{{q=7}}}

go to {{{n=12-q}}}......eq.1, substitute {{{q}}}

{{{n=12-7}}}

{{{n=5}}}

so, Jason has {{{5}}} nickels and {{{7}}} quarters