Question

phillip plays mario kart every 10 days and wii sports every 14 days. when will be the first time he plays both games on the same day?

Answer 1

The first time Phillip will play both Mario Kart and Wii Sports on the same day is after calculating the Least Common Multiple (LCM) of 10 and 14, which is 70 days.

Step-by-step explanation:

To find out when Phillip will play Mario Kart and Wii Sports on the same day, we need to calculate the Least Common Multiple (LCM) of the two numbers representing the days on which he plays these games. The number of days on which Phillip plays Mario Kart is 10, and for Wii Sports, it's 14. We are looking for the smallest number that is a multiple of both 10 and 14.

Steps to find the LCM:

1. List the prime factors of each number.
2. 10 = 2 × 5; 14 = 2 × 7.
3. Multiply each factor the greatest number of times it occurs in any of the numbers.
4. Here, the number 2 occurs once in both lists, the number 5 occurs once, and the number 7 occurs once.
5. Therefore, the LCM = 2 × 5 × 7.
6. LCM = 70.

So, Phillip will play both games on the same day every 70 days, which means the first time he plays both on the same day will be on the 70th day.

Answer 2

Answer:70

Step-by-step explanation:

LCM (Least Common Factor)

Just count by 10 and 14

10,20,30,40,50,60,70,80,90,100

14,28,42,56,70