Chapter 1.3, Problem 39IP

To determine

Write an expression to find the number of pounds of apples in any number of bushels, if one tree can produce 6 bushels, then how many pounds of apples will an orchard of 100 trees produce.

Answer to Problem 39IP

  $\begin{array}{l}42\cdot b\\ 25200\text{pounds of apples}\end{array}$

Explanation of Solution

Given:

One bushel of apples from a dwarf apple tree is equal to 42 pounds.

In order to write an expression to find the number of pounds of apples in any number of bushels, if one tree can produce 6 bushels, then how many pounds of apples will an orchard of 100 trees produce, let b be the number of a bushel of apples, then to find the expression first multiplying 42 to b because one bushel of apples from a dwarf is equal to 42 pounds, so the expression is:

  $42\cdot b$

Now, find how many pound of apples will an orchard of 100 trees produce, first putting the value of b, that is 6 in the above expression and then multiply it by 100 as shown below:

  $\begin{array}{l}42\cdot b\\ =42\left(6\right)\times 100\\ =252\times 100\\ =25200\end{array}$

So, the expression is $42\cdot b$ , and there is 25200 pounds of apples in an orchard of 100 trees.