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Answer:
Number of $20 bills = 8
Number of $10 bills = 4
Explanation:
Let x be the number of $20 bills.
Let y be the number of $10 bills.
From the question, we'll have the two equations below;
[tex]\begin{gathered} 20x+10y=200 \\ x+y=12 \end{gathered}[/tex]From the 2nd equation, y = 12 - x.
Let's put (y = 12 - x) into the 1st equation and slove for x;
[tex]\begin{gathered} 20x+10(12-x)=200 \\ 20x+120-10x=200 \\ 10x=200-120 \\ x=\frac{80}{10} \\ \therefore x=8 \end{gathered}[/tex]Since x = 8, let's substitute the value of x into (y = 12 - x) and find x;
[tex]\begin{gathered} y=12-8 \\ \therefore y=4 \end{gathered}[/tex]