Question

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:​

Answer 1

Sam jumped 1.31 m

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.

`4.34 = (p - 0.27) + (p) + (p - 0.13) \`

Take out the parentheses

`4.34 = p - 0.27 + p + p - 0.13`

Combine liketerms.

`4.34 = 3p - 0.4`

Add 0.4 to both sides.

`4.74 = 3p`

Divide both sides by 3.

`p = 1.58`

Now, we can plug that into Sam's equation.

`s \: = (1.58) - 0.27 \\ s = 1.31`