a
in a long jump competition, Peter jumped 0.13 m further than Roy. Sam jumped
0.27 shorter than Peter. The three boys jumped a total distance of 4.34 m. How far
did Sam jump?
Si
Answer:​

Respuesta :

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]