Answer : The number of turns the larger gear made, 10
Explanation :
We are given:
Let the turns made by larger gear be 'y'.
When turns 12 times then the smaller gear = [tex]60\times 12[/tex]
When turns 'y' times then the larger gear = [tex]72\times y[/tex]
60-tooth gear = 72-tooth gear
[tex]60\times 12=72\times y[/tex]
[tex]y=\frac{60\times 12}{72}[/tex]
[tex]y=10[/tex]
Therefore, the number of turns the larger gear made, 10