99 and 1.83 ,how much should I stake on them to have a loss of 50 naira

Let's determine how much to stake on each outcome to achieve a specific loss of 50 naira. Step 1: Define variables and set up the equal payout condition. Let S₁ be the amount staked on the outcome with odds 1.99. Let S₂ be the amount staked on the outcome with odds 1.83. To ensure a consistent loss, the payout must be the same regardless of which outcome wins. Let P be this common payout. P = S₁ × 1.99 P = S₂ × 1.83 Step 2: Express stakes in terms of the payout. From the payout equations: S₁ = P / 1.99 S₂ = P / 1.83 Step 3: Use the desired loss to form an equation. The total money staked is S₁ + S₂. The loss is the total stake minus the payout. We want this loss to be 50 naira. (S₁ + S₂) - P = 50 Step 4: Substitute and solve for the payout (P). Substitute the expressions for S₁ and S₂ into the loss equation: (P / 1.99) + (P / 1.83) - P = 50 Factor out P: P × (1/1.99 + 1/1.83 - 1) = 50 Calculate the values in the parenthesis: 1/1.99 ≈ 0.50251 1/1.83 ≈ 0.54645 P × (0.50251 + 0.54645 - 1) = 50 P × (1.04896 - 1) = 50 P × 0.04896 = 50 P = 50 / 0.04896 P ≈ 1021.24 naira Step 5: Calculate the individual stakes. Now use the value of P to find S₁ and S₂: S₁ = P / 1.99 S₁ = 1021.24 / 1.99 S₁ ≈ 513.19 naira S₂ = P / 1.83 S₂ = 1021.24 / 1.83 S₂ ≈ 558.05 naira Step 6: Verify the total stake and loss. Total stake = S₁ + S₂ = 513.19 + 558.05 = 1071.24 naira Loss = Total stake - Payout = 1071.24 - 1021.24 = 50 naira. This matches the desired loss. To have a loss of 50 naira, you should stake: S₁ = 513.19 naira on the outcome with odds 1.99. S₂ = 558.05 naira on the outcome with odds 1.83. Drop the next question!