A storeperson working in a warehouse was required to do an inventory of stock. Of one certain item, we had 10 full pallets (20 cases each), 5 full cases, and 4 broken cases. Of the three broken cases, 2 had 3 damaged items, one had 4, and the other had 1 damaged item. Each full case had 20 items. How many undamaged items?

Respuesta :

To find the total number of undamaged items, let’s break down the inventory:

1. Full pallets: 10 pallets * 20 cases/pallet * 20 items/case = 4000 items
2. Full cases: 5 cases * 20 items/case = 100 items
3. Broken cases: 4 cases

Now, let’s calculate the number of damaged items in the broken cases:

• 2 cases with 3 damaged items each: 2 cases * 3 items/case = 6 items
• 1 case with 4 damaged items: 1 case * 4 items/case = 4 items
• 1 case with 1 damaged item: 1 item

Total damaged items from broken cases: 6 + 4 + 1 = 11 items

Now, let’s subtract the damaged items from the total number of items to find the number of undamaged items:

Total items = Full pallets + Full cases + Broken cases
Total items = 4000 + 100 + 4

Total undamaged items = Total items - Total damaged items
Total undamaged items = (4000 + 100 + 4) - 11

Total undamaged items = 4104 - 11
Total undamaged items = 4093 undamaged items

So, there are 4093 undamaged items in total.