Question 1184054
From the first sentence of the problem, we know that: 

K = (3/2)L 

From the second sentence of the problem, we know that: 

M = (3/4)K 

From the third sentence of the problem, we know that: 

k gave m 3x bookmarks and l gave m x bookmarks. Therefore, 

M + 4x = 2(M) 

Simplifying this equation gives us: 

M = 4x 

We also know from the last sentence of the problem that: 

L = K + 32 

Now we can substitute our expressions for K and M in terms of L into our equation for M: 

(3/4)(3/2)L + 4x = 8x 

Simplifying this equation gives us: 

9L/8 + 4x = 8x 

9L/8 = 4x 

L = (32/9)x 

Substituting this expression for L into our equation for K gives us: 

K = (3/2)(32/9)x = (16/3)x 

Finally, we can substitute our expressions for K and M in terms of x into our equation for M: 

M = (3/4)(16/3)x = 4x 

Therefore, k gave m 3x bookmarks, and since m ended up with 4x bookmarks in total, we have: 

3x + x = 4x 

Solving for x gives us: 

x = 144 

Therefore, k gave m 3x = 432 bookmarks.