Question

I bought worms from two online stores. I remembered that I got 1,200 more than twice as many worms from the first store than the second store. I also know that the total worms is 18,000 worms. How many did I order from each store?

Answer 1

You ordered 9,600 worms from the first store and 4,200 worms from the second store.

Explanation:

To solve this problem, we can let "x" represent the number of worms that you ordered from the first store and "y" represent the number of worms that you ordered from the second store. We can then set up the following equations to represent the given information:

x + y = 18,000 (total number of worms)

x = 2y + 1,200 (number of worms from the first store)

We can solve for "y" in the second equation by subtracting "2y" from both sides to obtain x – 2y = 1,200. We can then add this equation to the first equation to eliminate the variable "y" and solve for "x". This gives us the following:

x + y = 18,000

x – 2y = 1,200

Adding these equations together, we get 2x = 19,200

Dividing both sides by 2, we get x = 9,600

We can now substitute this value for "x" in the second equation to solve for "y":

x = 2y + 1,200

9,600 = 2y + 1,200

8,400 = 2y

y = 4,200

Therefore, you ordered 9,600 worms from the first store and 4,200 worms from the second store.