Question 1100035
VARIABLES
n nickels
d dimes
q quarters


MAKE EQUATIONS ACCORDING TO DESCRIPTION
-
{{{n+d+q=60}}}
-
{{{d/n=3}}}
-
{{{5n+10d+25q=850}}}



SIMPLIFY SYSTEM OF EQUATIONS


{{{system(n+d+q=60,d=3n,n+2d+5q=170)}}}



Solve the system any way you want.




---
{{{substituting}}}{{{for}}}{{{d}}}:{{{system(n+3n+q=60,n+6n+5q=170)}}}


{{{system(4n+q=60,7n+5q=170)}}}

{{{7n+5(60-4n)=170}}}

{{{7n+300-20n=170}}}

{{{-13n=170-300}}}

{{{13n=300-170}}}

{{{13n=130}}}

{{{highlight(n=10)}}}-------ten nickels

{{{highlight(d=30)}}}------thirty dimes

{{{highlight(q=20)}}}------twenty quarters