Question

On Monday, Uncle Li collected three times as many eggs as Uncle Wang. On Tuesday, Uncle Li sold 160 eggs, and now Uncle Wang’s eggs are twice that of Uncle Li. How many eggs does Uncle Wang have now?

a) 240 eggs
b) 80 eggs
c) 320 eggs
d) 120 eggs

Answer 1

Upon calculating, it is found that Uncle Wang now has 64 eggs, which is not included among the given options.

Step-by-step explanation:

Let's denote the number of eggs Uncle Wang collected initially as W. Therefore, Uncle Li collected 3W eggs initially because Uncle Li got three times as many as Uncle Wang. After selling 160 eggs, Uncle Li would have 3W - 160 eggs left. According to the problem, Uncle Wang's eggs are now twice that of Uncle Li's remaining eggs, meaning 2(3W - 160) equals the number of eggs Uncle Wang has now.

Let's set up an equation based on the above situation:
W = 2(3W - 160)

To solve for W, we need to distribute the 2 into the parentheses and start simplifying:

1. W = 2 × 3W - 2 × 160
2. W = 6W - 320
3. Subtract 6W from both sides to get all the W terms on one side:
4. -5W = -320
5. Divide each side by -5 to solve for W:
6. W = 64

Now, since Uncle Wang's eggs must be twice that of Uncle Li's remaining eggs:

Wang's eggs = 2 × (3 × 64 - 160) = 2 × (192 - 160) = 2 × 32 = 64 eggs

Therefore, Uncle Wang now has 64 eggs, which means none of the options provided (a, b, c, d) are correct.