Final answer:
Benjamin's weekly budget is $520.
Step-by-step explanation:
To find Benjamin's budget, we can set up an equation using the information given. Let's use 'B' to represent Benjamin's budget. We know that Benjamin spends 15% of his budget on food and 35% on rent. The remaining amount is $260. We can set up the equation as follows:
0.15B + 0.35B + 260 = B
Combining like terms, we have:
0.50B + 260 = B
Subtracting 0.50B from both sides, we have:
0.50B - 0.50B + 260 = B - 0.50B
260 = 0.50B
Dividing both sides by 0.50, we have:
520 = B
Therefore, Benjamin's budget is $520.