Write an equation to solve the following problem.
During the season, two apple trees and three pear trees produced a total of 126 pieces of fruit. Each apple tree produced the same number of apples, and each pear tree produced two more pieces of fruit than either apple tree. How many pieces of apples did each Ray's apple trees produce in one season? Complete the table below and answer in a complete sentence.
Then solve the equation.
I don't see a table, but let's solve.
2 apple trees = 2x
3 pear trees = 3 (x + 2) since they produced 2 more than the apple trees
So, 2x + 3(x+2) = 2x + 3x + 6 = 126
5x + 6 = 126
5x = 120
x = 24
Remember that x is the number of apples per tree and each pear tree will be 2 more than the apples.
Hope this helps!
how to do division.2 goes into 628 how many times
48 pieces of apples
To solve this problem, let's first define some variables. Let's call the number of apples produced by each apple tree "A", and the number of pears produced by each pear tree "P".
From the problem, we know that there are two apple trees, so the total number of apples produced by the apple trees is 2A. Similarly, there are three pear trees, so the total number of pears produced by the pear trees is 3P.
The problem also states that the total number of pieces of fruit is 126. So we can write the equation:
2A + 3P = 126
Next, it is mentioned that each pear tree produced two more pieces of fruit than either apple tree. This means that the number of pears produced by each pear tree is 2 more than the number of apples produced by each apple tree. Therefore, we can also express P in terms of A:
P = A + 2
Now we can substitute this expression for P in the equation we formed earlier:
2A + 3(A + 2) = 126
Simplifying this equation will give us the value of A, which represents the number of pieces of apples produced by each apple tree.