Answer:
25 weeks
Explanation:
Tony:
![Base\ Amount = 10](https://img.qammunity.org/2021/formulas/mathematics/high-school/3ox28pcngi5zi6apyhcl2s0iturb3op3dm.png)
![Additional = 4](https://img.qammunity.org/2021/formulas/mathematics/high-school/1bece1k2vv5qwxl3ehb42w9isx3gjgt8sx.png)
Marco
![Base\ Amount = 60](https://img.qammunity.org/2021/formulas/mathematics/high-school/97klnjhuq6ll2hw36vzexox9b8x8145099.png)
![Additional = 2](https://img.qammunity.org/2021/formulas/mathematics/high-school/9kgoo9ejkc6p7y3svno24kri7ci4cqhb5m.png)
Required
Determine number of weeks where both will be equal.
Represent weeks with w.
For Tony, the expression is:
![10 + 4w](https://img.qammunity.org/2021/formulas/mathematics/high-school/8q1tfek4ru2qfdm2qw1nla56y25nz5tash.png)
For Marco, the expression is:
![60 + 2w](https://img.qammunity.org/2021/formulas/mathematics/high-school/xwgj4zp1jzbx0px3draq03yxk9h68rgdw4.png)
To determine yhe number of weeks, we equate both expressions.
![10 + 4w = 60 + 2w](https://img.qammunity.org/2021/formulas/mathematics/high-school/a589wha6knzci1qjlftp4q4rfpcw1b4m4k.png)
Collect Like Terms
![4w - 2w = 60 - 10](https://img.qammunity.org/2021/formulas/mathematics/high-school/ne8k5qth3ierk4h9iz3kle4ybbswn28pr7.png)
![2w = 50](https://img.qammunity.org/2021/formulas/mathematics/high-school/fstj3s17lyp152vgdegb9qwr7vpaeub8wl.png)
Solve for w
![w = 50/2](https://img.qammunity.org/2021/formulas/mathematics/high-school/rmmpgvsktefetq33xgh05t1510avpdvjdm.png)
![w = 25](https://img.qammunity.org/2021/formulas/mathematics/high-school/974kjkmnt78yhbfyitympqjjc6g9tmnc22.png)