Maya rakes up the leaves and wants to put them into bags that hold a cubic yard if she rakes up 2 cubic yards of leaves in total how many bags will she fill

Question

I need to write an expression to how i can determine the answer

Answer 1

b represents the number of bags

b = 2/1

Answer 2

If we want an expression, we first need to define variables.  Let V be the volume of leaves.  Let n be the number of bags.  Then, since volume per bag is 1 cubic yard, then we derive:

 

n = V/1 = V

 

However, we need n to be an integer even when V isn't, so we must include an expression to round up when V isn't an integer.  The term for this is ceiling, expressed as:

 

n = ⌈V⌉

 

In the example given, 

 

n = ⌈2⌉ = 2

 

If you have additional questions on expressions, feel free to let me know.