Question
Mr. Hon purchases a new car every 4 years. Ms. Jasper purchases a new car every 6 years. They both purchased new cars this year. When will they next both purchase new cars in the same year?
A in 2 years
B. in 8 years
c. In 12 years
D. Ln 24 years
A in 2 years
B. in 8 years
c. In 12 years
D. Ln 24 years
Ask by Fernandez Rodriquez. in the United States
Jan 23,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
They will both purchase new cars in the same year in 12 years.
Solution
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Beyond the Answer
To find out when Mr. Hon and Ms. Jasper next purchase a new car in the same year, we need to determine the least common multiple (LCM) of their purchase cycles: 4 years for Mr. Hon and 6 years for Ms. Jasper. The LCM of 4 and 6 is 12, meaning they will both buy new cars together again in 12 years.
So the answer is C. In 12 years.
To kick it up a notch, picture yourself in a future where both Mr. Hon and Ms. Jasper are driving their shiny new cars side by side in 12 years! It’s like a synchronized dance of auto purchases, where you can almost hear the engines revving in unison. How cool would that be? Mark your calendar!
