Word problem 1:
A salesman sold twice as many pears in the afternoon as he did in the morning. If he sold 360 kilograms of pears that day, how many kilograms did he sell in the morning and how many in the afternoon?
Solution
Let’s break the problem down step by step:
- Let \( x \) kilograms be the amount of pears the salesman sold in the morning.
- Since he sold twice as much in the afternoon, the amount he sold in the afternoon is \( 2x \) kilograms.
We know the total amount of pears sold is 360 kilograms. Therefore, we can write the equation:
\[
x + 2x = 360
\]
Simplifying the equation:
\[
3x = 360 \Rightarrow x = \frac{360}{3} \Rightarrow x = 120
\]
So, the salesman sold \( \textbf{120 kilograms} \) of pears in the morning.
To find how many kilograms he sold in the afternoon, we multiply the amount sold in the morning by 2:
\[
2x = 2 \times 120 \Rightarrow 2x = 240
\]
Thus, the salesman sold \( \textbf{240 kilograms} \) in the afternoon.
Answer:
- Morning: \( \textbf{120} \) kilograms
- Afternoon: \( \textbf{240} \) kilograms