beginning on.the first day of school ,mr. jones,gives his,son a,turkey sandwich for lunch every 6 days,and a banana with his lunch every 4 days. in how many days will mr. jones again give his son both a turkey sandwich and a banana for lunch?
turkey sandwich on day:
1 7 13 19 25 31 ...
banana on day:
1 5 9 13 17 21 ...
mhhh ?
13
To find the number of days when Mr. Jones will give his son both a turkey sandwich and a banana for lunch, we need to find the least common multiple (LCM) of 6 and 4.
Step 1: List the multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, ...
Step 2: List the multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, ...
Step 3: Identify the first common multiple in both lists. Here, the first common multiple is 12.
Therefore, Mr. Jones will give his son both a turkey sandwich and a banana for lunch after 12 days.