Ammon and nakia volunteer at an animal shelter. nakia worked 3 more hours than ammon. they each worked a whole number of hours. together they worked more than 27 hours. what is the least number of hours each worked

Ammon worked at least 12 hours. Nakia worked at least 15 hours. let a be the number of hours Ammon worked and n be the number of hours Nakia worked. They are related by the equation: n=3+a The total number of hours worked is given by the inequaltiy 27 < n + a to solve we must substitute n for 3+a 27 < 3 + a + a = 3+2a 27 < 3 + 2a solving: 24 < 2a 12 < a Ammon worked at least 12 hours Nakia worked three more hours than Ammon so Nakia worked at least 15 hours