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

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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

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Answer 1

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 - 6

Now, 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 - 6

Simplify and solve for 'o':

20 + 8o = 32 + 5o - 6
20 + 8o = 26 + 5o
3o = 6
o = 2

Therefore, 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 Money
5(4) + 8(2) = Total Money
20 + 16 = Total Money
Total Money = 36

Answer: Johnny had 36 units of money.

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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

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