contestada

Nate and Chris were walking along the river, throwing stones into the water. Every three steps, they would each throw one stone. If they each walked ninety steps, how many stones would they throw into the river altogether? stones

Respuesta :

ANSWER

[tex]120\text{ stones}[/tex]

EXPLANATION

For every three steps, they would each throw one stone. In other words, for every three steps, two stones will be thrown in total.

In other words, we can write a ratio to represent the situation:

[tex]3steps\colon2\text{ stones}[/tex]

Let the number of stones thrown altogether be x.

Each of them walked 90 steps. In other words, they both walked a total of 180 steps.

[tex]180\text{steps}=x\text{ stones}[/tex]

To find the number of stones they would throw altogether, we can write a proportion.

That is:

[tex]\begin{gathered} 3\colon2 \\ \Rightarrow180\colon x \\ \Rightarrow\frac{3}{2}=\frac{180}{x} \end{gathered}[/tex]

Solve for x in the equation above:

[tex]\begin{gathered} 3x=2\cdot180 \\ \Rightarrow x=\frac{2\cdot180}{3} \\ x=120 \end{gathered}[/tex]

That is the number of stones that will be thrown altogether.