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Ben is stocking milk at the local JumboMart. The milk cooler holds 780 cartons of milk and is completely full when Ben starts his shift. The store sells 75 percent of the milk during the first hour that Ben works and then sells another 20 percent of the remaining milk during the second hour. If there are 1000 cartons of milk in the back room, how many of them will Ben not need in order to restock the milk cooler?
  • a)
    259
  • b)
    376
  • c)
    585
  • d)
    624
  • e)
    741
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Ben is stocking milk at the local JumboMart. The milk cooler holds 780...
Let's calculate the number of cartons of milk that will be sold during Ben's shift.
During the first hour, 75% of the milk is sold. This means 75/100 * 780 = 585 cartons of milk are sold.
After the first hour, there are 780 - 585 = 195 cartons of milk remaining.
During the second hour, 20% of the remaining milk is sold. This means 20/100 * 195 = 39 cartons of milk are sold.
After the second hour, there are 195 - 39 = 156 cartons of milk remaining.
Now, let's calculate how many cartons of milk Ben will need to restock the milk cooler.
The milk cooler originally holds 780 cartons of milk, and there are currently 156 cartons remaining. Therefore, Ben will need to restock the cooler with 780 - 156 = 624 cartons of milk.
Since there are 1000 cartons of milk in the back room, Ben will not need 1000 - 624 = 376 cartons of milk.
Therefore, the correct answer is B) 376.
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Community Answer
Ben is stocking milk at the local JumboMart. The milk cooler holds 780...
To solve this problem, we'll need to calculate the number of cartons of milk that Ben will not need to restock the milk cooler.

Given information:
- The milk cooler holds 780 cartons of milk and is completely full when Ben starts his shift.
- 75% of the milk is sold during the first hour that Ben works.
- 20% of the remaining milk is sold during the second hour.
- There are 1000 cartons of milk in the back room.

Let's break down the problem into smaller steps:

Step 1: Calculate the number of cartons of milk sold during the first hour.
- 75% of 780 cartons = 0.75 * 780 = 585 cartons sold during the first hour.

Step 2: Calculate the number of cartons of milk remaining after the first hour.
- 780 cartons - 585 cartons = 195 cartons remaining after the first hour.

Step 3: Calculate the number of cartons of milk sold during the second hour.
- 20% of 195 cartons = 0.20 * 195 = 39 cartons sold during the second hour.

Step 4: Calculate the number of cartons of milk remaining after the second hour.
- 195 cartons - 39 cartons = 156 cartons remaining after the second hour.

Step 5: Calculate the total number of cartons of milk sold.
- 585 cartons + 39 cartons = 624 cartons sold in total.

Step 6: Calculate the number of cartons of milk that Ben will not need to restock.
- Total cartons of milk = Remaining cartons after the second hour + Cartons in the back room
- Total cartons of milk = 156 cartons + 1000 cartons = 1156 cartons
- Number of cartons not needed = Total cartons - Cartons sold
- Number of cartons not needed = 1156 cartons - 624 cartons = 532 cartons.

Therefore, Ben will not need 532 cartons of milk to restock the milk cooler, which corresponds to option B.
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