Harry has 49.792 units.
Firstly we need to translate sentences into mathematical expressions and then we proceed to solve the resulting system of linear equations:
1) Carrie has 0.125 more than Larry:
[tex]y = x + 0.125[/tex] (1)
2) Larry has 0.75 more than Harry:
[tex]x = z + 0.75[/tex] (2)
3) In total, they have 151:
[tex]x + y + z = 151[/tex] (3)
Then, we proceed to solve the system of equations by direct substitution and clearing the remaining variable:
[tex]x + (x + 0.125) + (x-0.75) = 151[/tex]
[tex]3\cdot x -0.625 = 151[/tex]
[tex]3\cdot x = 151.625[/tex]
[tex]x = 50.542[/tex]
And the remaining solutions are, respectively:
[tex]y = 50.667[/tex], [tex]z = 49.792[/tex]
Harry has 49.792 units.
We kindly invite you to check this question related to systems of linear equations: https://brainly.com/question/16879892
