Answer:
Sam jumped 1.31 m
Step-by-step explanation:
We can start by writing a system of equations.
Peter = Roy + 0.13
Sam = Peter - 0.27
Peter + Roy + Sam = 4.34
Then, we can rewrite the equations so that we have them in term of Peter, p.
Peter- p = p
Roy- r = p - 0.13
Sam- s = p - 0.27
Now, we can plug this into the equation
s + p + r = 4.34.
[tex]4.34 = (p - 0.27) + (p) + (p - 0.13) \[/tex]
Take out the parentheses
[tex]4.34 = p - 0.27 + p + p - 0.13[/tex]
Combine liketerms.
[tex]4.34 = 3p - 0.4[/tex]
Add 0.4 to both sides.
[tex]4.74 = 3p[/tex]
Divide both sides by 3.
[tex]p = 1.58[/tex]
Now, we can plug that into Sam's equation.
[tex]s \: = (1.58) - 0.27 \\ s = 1.31[/tex]