Mrs. Cason gives her class a spelling quiz every Monday, a math quiz every other Monday and a history quiz every third Monday . Sally smarty is in Mrs. Carson's class. She received a grade of 100% on all three quizzes today. How long will it be before she again has to take all three quizzes in on day?
well it will be history in three weeks, and a spelling quiz. In six weeks, history, math, and spelling. I think. Check that.
figure it out your self
Help me!!!
To determine when Sally Smarty will take all three quizzes in one day again, we need to find the least common multiple (LCM) of the three time intervals: every Monday, every other Monday, and every third Monday.
First, let's represent each of the three time intervals as numbers:
- Spelling quiz: 1 (every Monday)
- Math quiz: 2 (every other Monday)
- History quiz: 3 (every third Monday)
To find the LCM of these three numbers, we can simply list out their multiples until we find the smallest common multiple. Let's start:
Multiples of 1: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, ...
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, ...
Multiples of 3: 3, 6, 9, 12, 15, ...
From the lists, we can see that 6 is the smallest number that appears in all three lists. Hence, the LCM of 1, 2, and 3 is 6.
Therefore, it will be 6 Mondays until Sally Smarty again has to take all three quizzes on the same day.