Question

Two boys want to use a seesaw and they need to move the seesaw so that their weights will balance out. The formula is given by w1 • d1 = w2 • d2 where w1 = weight of the first boy, d1 = distance of the first boy from the fulcrum, w2 = weight of the second boy, and d2 = distance of the second boy from the fulcrum. Rewrite the formula to solve for d2. Show all steps in your work.

Answer 1

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Answer 2

w1 • d1 = w2 • d2

(w1 • d1)/w2 = d2 simply divide by w2 and you have solved for d2

Answer 3

\[w_{1}d_{1}=w_{2}d_{2}\]

Solve for \[d_{2}\] by dividing both sides by \[w_{3}\] Like so:

\[\frac{ w_{1}d_{1} }{ w_{2} } = \frac{ w_{2}d_{2} }{ w_{2} }\]

As you can see, the w2's cancel out on the right side and now you get

\[d_{2} = \frac{ d_{1}w_{1} }{ w_{2} }\]

Hope I helped!

Answer 4

w₁d₁ = w₂d₂

divide both sides by w₂

w₁d₁ / w₂ = d₂