Answer:
10 months
Step-by-step explanation:
Let x denotes number of months.
Down payment of first TV = $200
Per month payment of first TV = $39.99
Total payment of first TV [tex]=200+39.99x[/tex]
Down payment of second TV = $0
Per month payment of second TV = $59.99
Total payment of second TV [tex]=0+59.99x=59.99x[/tex]
To find number of months until the payments are of equal value,
solve [tex]200+39.99x=59.99x[/tex]
[tex]200+39.99x=59.99x\\200=59.99x-39.99x\\200=20x\\x=\frac{200}{20}\\ x=10[/tex]
So, payments become of equal value after 10 months.
