Jim and Carla are scuba diving. Jim started out 8 feet below the surface. He descended 20 feet, rose 7 feet, and descended 12 more feet. Then he rested. Carla started out at the surface. She descended 15 feet, rose 7 feet, and descended another 20 feet. Then she rested. Which person rested at a greater depth?

Jim.

Step-by-step explanation:

Descending results in a greater depth so we add the measurements when they descend and rising results in a lower depth so we minus the measurements when they rise. The surface area has no depth yet, so it is 0 feet depth.

Jim = 8 + 20 - 7 + 12

     = 33

Carla = 0 + 15 -7 + 20

         = 28

Since 33 feet is deeper than 28 feet, Jim rested at a greater depth.

ad = ae + ed = y + 7

similar triangles therefor

ac/ab = ad/ae

6/4 = (y + 7) / y

cross multiply

6y = 4(y + 7)

6y = 4y + 28

2y = 28

y = 14

step-by-step explanation:

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step-by-step explanati∵∵∴∴on: