Debbie weighs 96 pounds and Denise weighs 120 pounds. They are seated at opposite ends of a seesaw. Debbie and Denise are 16.5 feet apart, and the seesaw is balanced. How far is Debbie from the fulcrum?

Step-by-step explanation:

Let d be Debbie's distance from the fulcrum.  Then Denise's is (16.5 - d) ft.

Torque is measured in (distance)(force).  Here, that'd be (distance)(weight).

Here:

96d = 120(16.5 - d), or    96d = 1980 - 120d

Adding 120d to both sides yields:

216d = 1980, so that d = 9 1/6 ft.  This is how far Debbie sits from the fulcrum

Denise sits  (16 1/2 ft - 9 1/6 ft) from the fulcrum:  This works out to 7 1/3 ft.  Her being heavier requires that she sit closer to the fulcrum than Debbie.

Debbie sits 9 1/6 ft from the fulcrum, and Denise 7 1/3 ft.

f

step-by-step explanation:

f

x=17

step-by-step explanation:

solve 3x-24=x+10

then that makes it 2x=34 because you subtract an x from both sides to get rid of the one on the right, and then you add 24 to both sides to get rid of the 24 on the left

divide by both sides by 2 to get your answer so that you can get your answer