Byron wants to use the distributive property to rewrite the addition problem shown so that the numbers left in the parentheses have no common factor except 1.
(48 + 36)
Which is an equivalent expression that has numbers in the parentheses whose only common factor is 1?
A.
4(12 + 9)
B.
2(24 + 18)
C.
12(4 + 3)
D.
36(12 + 1)
A. 4(12 + 9)
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.
in 24 years
Since Mr. Hon purchases a new car every 4 years and Ms. Jasper purchases a new car every 6 years, the next time they will both purchase new cars in the same year is when the number of years is a multiple of both 4 and 6.
The least common multiple (LCM) of 4 and 6 is 12. Therefore, they will next both purchase new cars in the same year in 12 years.
So the correct answer is C. in 12 years.