t a summer camp, chocolate milk is served every other day, corn is servedevery 4 days and pizza every 7 days. Today all three were served. What is thesmallest number of days until all three are served again?
Question
t a summer camp, chocolate milk is served every other day, corn is servedevery 4 days and pizza every 7 days. Today all three were served. What is thesmallest number of days until all three are served again?
Solution
To solve this problem, we need to find the least common multiple (LCM) of the three numbers: 2 (for chocolate milk), 4 (for corn), and 7 (for pizza).
Step 1: List the multiples of each number.
- Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28...
- Multiples of 4: 4, 8, 12, 16, 20, 24, 28...
- Multiples of 7: 7, 14, 21, 28...
Step 2: Find the least common multiple. The smallest number that appears in all three lists is 28.
So, it will be 28 days until all three are served again.
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