Question 997063
Process is (1) Assign variables,  (2) Translate description into system of equations, (3) Solve the system.



x, how many five-dollar bills
y, ................twenty dollar bills



{{{system(5x+20y=310,x+y=29)}}}



Algebra Steps:
Money count, divide members by 5.
{{{x+4y=62}}}.
Now the system is 
{{{system(x+4y=62,x+y=29)}}}.
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Elimination-Method-ready.
{{{(x+4y)-(x+y)=62-29}}}
{{{3y=33}}}
{{{highlight(y=11)}}}
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return to x+y=29.
{{{x=29-y}}}
{{{x=29-11}}}
{{{highlight(x=18)}}}