Question

problems 1 - 3: here is a number grid.

1. circle the multiples of 12.
2. draw a square around the multiples of 15.
3. what is the least common multiple of 12 and 15?

problems 4 - 5: lucia wants to buy the same number of cups and plates, but cups are sold in packs of 8 and plates are sold in packs of 12.

1. list at least three combinations of packs of cups and packs of plates that lucia could buy to have the same number of each.
2. what is the fewest number of cups lucia could buy while also buying an equal number of plates?
3. a green light blinks every 4 seconds and a yellow light blinks every 5 seconds. when will both lights first blink at the same time?
4. a red light blinks every 12 seconds and a blue light blinks every 9 seconds. when will both lights first blink at the same time?

Explanation:

Step1: Find LCM of 12 and 15

Prime - factorize \(12 = 2^2\times3\) and \(15=3\times5\).
The LCM is \(2^2\times3\times5\).

Step2: Calculate LCM value

\(2^2\times3\times5=4\times3\times5 = 60\).

Answer:

60