Ammon and nakia volunteer at an animal shelter. nakia worked three hours more than ammon. they each worked a whole number of hours. together they worked more than 27 hours. what is the least number of hours they worked

If Ammon's hours are a and Nakia's hours are n, then n=3+a (since Nakia worked 3 hours more). Since it has to be more than 27 and worked for a whole number of hours, we can figure out that their least combined hours is 28 (since 27+1=28). In addition, since a+n=28, we can plug 3+a in for n to get a+a+3=28 and 2a+3=28. Subtracting 3 from both sides, we get 2a=25 and by dividing by 2 we get a=12.5. Oops, it isn't a whole number (to prevent this from happening, we could have figured out that the equation would be 2a+3=<total hours> and 2a=<total hours>-3. As even numbers divided by 2 are whole, we could have made that <total hours>-3 is even)! We'll have to try the next number, 29, to get 2a+3=29. Subtracting 3 from both sides, we get 2a=26 and by dividing by 2 we get a=13. n=a+3=16, and 13+16=29=the total hours 

the law of definite proportions states samples of a compound will always contain the same proportion of elements by mass. in other words, a given compound will always contain the same elements in the same proportions by mass.the law of multiple proportions states when two elements combine with each other to form more than one compound, then the weights of one element that combine with a fixed weight of the other are in a ratio of small whole numbers.

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