Johnny had the exact amount of money to buy s mangoes and 8 oranges if he were to bay 8 manoges and 5 oranges instead he would be short of 6 if a manglo costs 54 how much money did Johnny have? babasa ind

Let's break down this word problem step-by-step.**Let's define variables:*** Let 'm' represent the cost of one mango.* Let 'o' represent the cost of one orange.**Set up equations based on the given information:*** **Equation 1:** Johnny has enough money to buy 5 mangoes and 8 oranges. This can be written as: 5m + 8o = Total Money* **Equation 2:** If he buys 8 mangoes and 5 oranges, he's short of 6. This means the cost of 8 mangoes and 5 oranges is 6 less than his total money. This can be written as: 8m + 5o = Total Money - 6**Solve the system of equations:**Since both equations equal "Total Money," we can set them equal to each other:5m + 8o = 8m + 5o - 6Now, let's solve for one variable. We know that a mango costs 4 (m = 4). Substitute this value into the equation:5(4) + 8o = 8(4) + 5o - 6Simplify and solve for 'o':20 + 8o = 32 + 5o - 620 + 8o = 26 + 5o3o = 6o = 2Therefore, one orange costs 2.**Find the total amount of money Johnny had:**Substitute the values of m and o into either Equation 1 or Equation 2. Let's use Equation 1:5m + 8o = Total Money5(4) + 8(2) = Total Money20 + 16 = Total MoneyTotal Money = 36**Answer:** Johnny had 36 units of money.