If in the army there is one officer for every 16 privates, how many officers are there in a regiment consisting of 1,105 officers and privates?
For every officer (x) there are 16 privates; So, you will have (x) represent the officers and for each (x), there will be 16 privates. If x is 1, there will be 16 privates, if x is 2, there will be 32, etc.
x + 16x
make the formula equal to 1,105 and solve for x:
x + 16x = 1,105
17x = 1,105
x = 65
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