Pike Vitamin Shop sold equal quantities of Vitamin A and Vitamin D supplements this morning, even though the Vitamin A supplements come in packs of 4 and the Vitamin D supplements in packs of 7. What is the smallest number of each type that the store could have sold?_____ supplements
Q. Pike Vitamin Shop sold equal quantities of Vitamin A and Vitamin D supplements this morning, even though the Vitamin A supplements come in packs of 4 and the Vitamin D supplements in packs of 7. What is the smallest number of each type that the store could have sold?_____ supplements
Identify Problem Type: Step 1: Identify the problem type. We need to find the smallest number of each supplement type that could be sold in equal quantities, given different pack sizes. This is a Least Common Multiple (LCM) problem.
Calculate LCM: Step 2: Calculate the LCM of the pack sizes. The pack sizes are 4 for Vitamin A and 7 for Vitamin D.- List the multiples of 4: 4,8,12,16,20,24,28,32,36,40…- List the multiples of 7: 7,14,21,28,35,42,49…- The smallest common multiple is 28.
Verify Solution: Step 3: Verify the solution. Since 28 is a multiple of both 4 and 7, it is the correct LCM. This means the store could have sold 28 packs of each supplement.