Shoppers at the Super Foods grocery store find that the store brand hot dogs come in packages of 8 , while store brand hot dog buns come in packages of 12 . What is the smallest number of hotdogs and buns that a shopper will have to buy to make sure she has the same number of each?

Question

UpStudy AI · Accepted Answer

Hot dogs come in packages of 8 and buns in packages of 12. To have the same number of each, we need to find the least common multiple (LCM) of 8 and 12.

Step 1: Factor each number.
  8 = 2³
  12 = 2² × 3

Step 2: For the LCM take the highest power of each prime:
  LCM = 2³ × 3 = 8 × 3 = 24

This means the smallest number of hot dogs (and buns) needed is 24.

To get 24 hot dogs:
  24 ÷ 8 = 3 packages of hot dogs

To get 24 buns:
  24 ÷ 12 = 2 packages of buns

Thus, the shopper must buy 3 packages of hot dogs and 2 packages of hot dog buns to end up with 24 of each.
The shopper needs to buy 3 packages of hot dogs and 2 packages of buns to have 24 of each.

Shoppers at the Super Foods grocery store find that the store brand hot dogs come in packages of 8 , while store brand hot dog buns come in packages of 12 . What is the smallest number of hotdogs and buns that a shopper will have to buy to make sure she has the same number of each?

Upstudy AI Solution

Answer

Solution

Related Questions

Latest Arithmetic Questions