Patricia S. answered 11/24/14
Tutor
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Math Tutoring for K-12 & College
Hi, Robert!
Think of it this way: If you are packing the crates yourself, and you have 225 boxes to place in crates, how many crates would you be able to fill? Each crate can only hold 9 boxes.
There are two ways you could do this problem. The first method involves subtraction. Creating a table like the one below might help you keep track of your work.
# crates # boxes left to be crated
0 225
1 225-9 = 216
2 216-9 = 207
3 207-9 = 198
....
24 18-9 = 9
25 9-9 = 0
Using the table, you can see that you would be able to fill 25 crates (so 25 crates would have to be loaded onto the truck).
The second way to do this problem is much more direct. Repeatedly subtracting the same number is the same thing as dividing by that number, so instead of subtracting 9 from the number of boxes left to be crated every time we fill a crate, you can take the total number of boxes and divide by how many boxes fit in each crate:
225 ÷ 9 = 25
Either way, you find that you have enough boxes to fill 25 crates. If you're loading all 225 boxes into a truck in crates, then all 25 crates would need to be loaded into the truck.
I hope this helps!
Patty