Question

1. you have 36 red apples and 42 green apples. what is the greatest number of identical fruit baskets you can make with no apples left over? (6.ns.4) f. 6 g. 9 h. 12 i. 18

Explanation:

Step1: Find GCD of 36 and 42

Prime factors of 36: $36 = 2\times18 = 2\times2\times9 = 2\times2\times3\times3$
Prime factors of 42: $42 = 2\times21 = 2\times3\times7$
Common factors: 2, 3. GCD is $2\times3 = 6$.

Step2: Verify with options

GCD(36,42)=6, so greatest baskets is 6. Check options: F is 6.

Answer:

F. 6