human
Three frogs are trying to hop across the road. The first frog takes 4 times as many hops as the second. The second frog takes twice as many as the third. If the three frogs took a total of 99 hops, how many hops did it take the second frog to cross the road?
assistant
Define a variable ** Let x represent the number of hops it took the third frog
How many hops did the second frog take? ** The second frog:2x
How many hops did the first frog take? ** First frog:4(2x)=8x
Write an equation ** Total:x+2x+8x=99
Combine like terms ** 11x=99
Divide by 11 ** x=<<9=9>>9
How many hops did the second frog take? ** Second frog:2(9)=18 hops
#### 18