A farmer planted some mango trees in a grid. If h

To solve the problem, let's define the original number of trees in the orchard as x.

Setting Up the Equation

According to the information given, if the farmer adds 5 more rows with 4 trees in each row, the total number of trees increases by 25%. This can be expressed mathematically as:

• The number of new trees added is: 5 rows × 4 trees/row = 20 trees.
• The new total number of trees becomes: x + 20.

Understanding the Increase

The increase of 25% can be represented as:

• 0.25x (which is 25% of the original number of trees).

Formulating the Equation

Now, we can set up the equation based on the information:

x + 20 = x + 0.25x

Simplifying the Equation

This simplifies to:

x + 20 = 1.25x

Solving for x

Next, we can rearrange the equation:

• 20 = 1.25x - x
• 20 = 0.25x

Now, to find x, divide both sides by 0.25:

x = 20 / 0.25

Calculating the Original Number of Trees

Calculating this gives:

x = 80

Final Answer

The original number of trees in the orchard was 80 trees.