Question 1084880
Let T = number of Typical classrooms
and E = number of Engineering classrooms

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T + E = 16           (1)
24T + 32E = 424      (2)

Multiply (1) by 24 and then subtract (2):

   24T + 24E = 384  (1')
-(24T + 32E = 424)  (2) 
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    0T   - 8E   = -40   —>  E=5   —>  T=16-5=11

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Ans:   5 Engineering classrooms and 11 Typical classrooms.
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Check:  5*32 + 11*24  = 160 + 264 = 424 (ok)