Chapter 1.2, Problem 39PPS

To determine

To write:an expressionfor the number of pounds of apples and the number of pounds of apples produced by the100 orchard trees

Answer to Problem 39PPS

An algebraic expression is $42b$ and the number of pounds of apples produced by 100 trees is 25,200 pounds.

Explanation of Solution

Given:

One bushel of applesis equal to 42 pounds

One tree can produce 6 bushels

Calculation:

Let b represents the number of bushels.

Now, One bushel of apples $=42$ pounds

Then b bushels of apples $=42\times b$ pounds

Therefore, algebraic expression is $42b$

find the number of pounds of apples produced by 100 trees.

Now, one tree produces 6 bushels.

Thus, 100 trees produce $=100\times 6=600$ bushels

That is our question reduces to the number of pounds in 600 bushels.

Earlier, obtained the expression for number of pounds in any number of bushels is $42b$ .

So, on substituting $b=600$ in the above expression,

  $42b=42\times 600=25,200$

Thus number of pounds of apples produced by 100 trees = 25,200 pounds.

Conclusion:

Therefore, algebraic expression is $42b$ and the number of pounds of apples produced by 100 trees is 25,200 pounds.