Lester and Henry shared the cost of a present. Lester paid $34 more than 5/13 of the present. Henry paid $50. What was the cost of the present?

Sure, let's solve this step by step:

1. First, let's denote the cost of the present as "P".

2. According to the problem, Lester paid $34 more than 5/13 of the cost of the present. This can be written as: (5/13)P +$34.

3. Henry paid $50.

4. Since Lester and Henry shared the cost of the present, we can add what they both paid to find the total cost of the present. This gives us the equation: (5/13)P + $34 +$50 = P.

5. Simplifying the equation, we get: (5/13)P + $84 = P.

6. To isolate P, we subtract (5/13)P from both sides of the equation, which gives us: $84 = (8/13)P.

7. Finally, to find the cost of the present, we divide both sides of the equation by (8/13), which gives us: P = $84 / (8/13) =$136.50.

So, the cost of the present was $136.50.