Question

Bridget has swimming lessons every sixth day and diving lessons every fourth day. she had a swimming lesson and a diving lesson on may 7. complete the statement to determine in how many days will she have both swimming and diving lessons

Answer 1

Bridget will have both swimming and diving lessons again in 24 days after May 7, which is on May 31. This is calculated by finding the Least Common Multiple (LCM) of the two intervals, 6 and 4.

Step-by-step explanation:

Determining When Bridget Will Have Both Swimming and Diving Lessons

Bridget has swimming lessons every sixth day and diving lessons every fourth day. She had both lessons on May 7. To find out when she will have both lessons on the same day again, we need to calculate the Least Common Multiple (LCM) of the two numbers, 6 (for swimming) and 4 (for diving).

1. List the multiples of each number until you find a common multiple.
   
2. The smallest common multiple of 6 and 4 is 24.
3. Therefore, Bridget will have both swimming and diving lessons again in 24 days after May 7.

To answer the student's question, Bridget will have both swimming and diving lessons on the same day in 24 days from May 7, which would be on May 31.