Subjects algebra

Money Transfer 0A9998

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. **State the problem:** Joe and Frank have the same amount of money initially. We want to find how much Joe must give Frank so that Frank has 10 cedis more than Joe. 2. **Define variables:** Let the amount Joe (and Frank) initially have be $x$ cedis. 3. **Set up the equation:** Suppose Joe gives Frank $y$ cedis. - After giving, Joe has $x - y$ cedis. - Frank has $x + y$ cedis. 4. **Condition:** Frank has 10 cedis more than Joe: $$x + y = (x - y) + 10$$ 5. **Solve the equation:** $$x + y = x - y + 10$$ Subtract $x$ from both sides: $$y = -y + 10$$ Add $y$ to both sides: $$2y = 10$$ Divide both sides by 2: $$y = 5$$ 6. **Interpretation:** Joe must give Frank 5 cedis. **Final answer:** Joe must give Frank **5 cedis**.