Question

Maple trees were sold for $70 each, and birch trees were sold for $40 each. If the total amount from selling both types of trees was not more than $1500 and the number of trees sold was not more than 100, which statement is true?

A. Only birch trees were sold.
B. Only maple trees were sold.
C. Both maple and birch trees were sold.
D. The number of trees sold cannot be determined.

Answer 1

To determine which statement is true, we need to analyze the given information. By checking the conditions for each statement, we find that statement A. 'Only birch trees were sold' is true.

Step-by-step explanation:

To determine which statement is true, we need to analyze the given information. Let's assume that the number of maple trees sold is 'm' and the number of birch trees sold is 'b'.

According to the information given:

• The price of each maple tree is $70, so the total price of all maple trees sold is 70m dollars.
• The price of each birch tree is $40, so the total price of all birch trees sold is 40b dollars.
• The total amount from selling both types of trees is not more than $1500, so we have the inequality 70m + 40b <= 1500.
• The number of trees sold is not more than 100, so we have the inequality m + b <= 100.

To find out which statement is true, we need to check if the given conditions are satisfied. We can start by checking if only birch trees were sold. In this case, m = 0 and b = the total number of trees sold. Substituting these values into the inequalities, we get 70(0) + 40b <= 1500 and 0 + b <= 100. Simplifying these inequalities, we have 40b <= 1500 and b <= 100. It is clear that these conditions are satisfied. Therefore, statement A. 'Only birch trees were sold' is true.