Answer:
25 weeks
Step-by-step explanation:
Tony:
[tex]Base\ Amount = 10[/tex]
[tex]Additional = 4[/tex]
Marco
[tex]Base\ Amount = 60[/tex]
[tex]Additional = 2[/tex]
Required
Determine number of weeks where both will be equal.
Represent weeks with w.
For Tony, the expression is:
[tex]10 + 4w[/tex]
For Marco, the expression is:
[tex]60 + 2w[/tex]
To determine yhe number of weeks, we equate both expressions.
[tex]10 + 4w = 60 + 2w[/tex]
Collect Like Terms
[tex]4w - 2w = 60 - 10[/tex]
[tex]2w = 50[/tex]
Solve for w
[tex]w = 50/2[/tex]
[tex]w = 25[/tex]