There are 150 apple and peach trees altogether on a farm. The number of peach trees is 30 more than the number of apple trees. How many apple trees are there. How many peach trees are there?

a+p = 150

p = a+30
Now work your magic

Let's solve this step-by-step.

Let's assume the number of apple trees as 'A'.

According to the problem, the number of peach trees is 30 more than the number of apple trees. So, the number of peach trees can be represented as 'A + 30'.

The total number of apple and peach trees is given as 150. Therefore, we can write the equation as:

A + (A + 30) = 150

Simplifying the equation, we get:

2A + 30 = 150

Subtracting 30 from both sides of the equation, we obtain:

2A = 120

Dividing both sides of the equation by 2, we find:

A = 60

So, there are 60 apple trees on the farm.

To find the number of peach trees, we substitute the value of A in the equation:

Peach Trees (A + 30) = 60 + 30 = 90

Therefore, there are 90 peach trees on the farm.

To find the number of apple trees, let's assume the number of apple trees is A.

According to the given information, the number of peach trees is 30 more than the number of apple trees. So, we can write the equation:

Number of peach trees = Number of apple trees + 30

Since there are 150 apple and peach trees altogether, we can write another equation:

Number of apple trees + Number of peach trees = 150

Now, we can substitute the first equation into the second equation:

A + (A + 30) = 150

Combine like terms:

2A + 30 = 150

Subtract 30 from both sides:

2A = 120

Divide both sides by 2:

A = 60

Therefore, there are 60 apple trees on the farm.

To find the number of peach trees, we can substitute the value of A into the first equation:

Peach trees = Apple trees + 30
Peach trees = 60 + 30
Peach trees = 90

So, there are 90 peach trees on the farm.