Three gears are connected so that two turns of the first wheel turn the second wheel nine times and three turns of the second wheel turn the third wheel five times. (a) If you turn the first wheel once, how many times does the third wheel turn?
(b) How many times must you turn the first wheel so that the third wheel turns 30 times?

Call the gears a, b, c

because b turns 9 times for each 2 turn of a:

b = (9/2)a

Because c turns 5 times for each 3 turns of b:

c = (5/3)b

(5/3)((9/2)a) = (15/2)a

From this we can relate the number of turns of one gear to the numbers of the other

Example: If gear a turns 4 times...

b = (9/2)a = (9/2)(4) = 18 turns for 2nd gear

c = (15/2)a = (15/2)(4) = 30 turns for 3rd gear

13875138answer:

step-by-step explanation:

use a calculator!

no

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