Question

There are eight more apple trees then plum trees in the yard all together there are 54 trees how many apple trees and how many plum trees are in the yard?

Answer 1

To solve the problem, we set up an equation where P represents the number of plum trees. Solving 2P + 8 = 54, we find that there are 23 plum trees and, consequently, 31 apple trees in the yard.

Step-by-step explanation:

The question asks us to determine the number of apple trees and plum trees in a yard, given that there are a total of 54 trees and 8 more apple trees than plum trees.

Let's denote the number of plum trees as P. Therefore, the number of apple trees will be P + 8. The total number of trees is the sum of the apple trees and plum trees which equals 54.

So we have the equation:

P + (P + 8) = 54

Combining like terms, we get:

2P + 8 = 54

To find the value of P, we subtract 8 from both sides:

2P = 54 - 8

2P = 46

And now we divide both sides by 2:

P = 23

Therefore, there are 23 plum trees. To find the number of apple trees, we add 8 to the number of plum trees:

23 + 8 = 31

So, there are 31 apple trees in the yard.