Final answer:
To find the greater number of cartons each stack would have, we divide the total number of cartons by the number of stacks. Option (a) with 9 cartons per stack is the correct answer.
Step-by-step explanation:
In order to find the greater number of cartons each stack would have, we need to divide the total number of cartons by the number of stacks. Let's calculate:
The total number of cartons = 144 (Coke cans) + 90 (Pepsi cans) = 234 cartons
Now, let's divide the total number of cartons by each option to see which one gives us a greater number:
Option (a) 234 / 9 = 26 cartons
Option (b) 234 / 18 = 13 cartons
Option (c) 234 / 36 = 6.5 cartons
Option (d) 234 / 45 = 5.2 cartons
From the calculations, we can see that Option (a) gives us the greatest number of cartons per stack. Therefore, the answer is (a) 9 cartons.