Answer: The share would be approximately $285, $175, $141 respectively.
Step-by-step explanation:
Since we have given that
Number of box tops collected by Mr. Aceves's class = 3760
Number of box tops collected by Mrs. Baca's class = 2301
Number of box tops collected by Mr, Canyon's class = 1855
We first find the ration of box tops of Mr. Aceves, Mrs. Baca and Mr. Canyon respectively:
3760:2301:1855
Total = 3760+2301+1855=7916
Total amount to be share among them as a prize = $600
Mr. Aceves's share is given by
![\dfrac{3760}{7916}\times 600\\\\=284.99\\\\\approx 285](https://tex.z-dn.net/?f=%5Cdfrac%7B3760%7D%7B7916%7D%5Ctimes%20600%5C%5C%5C%5C%3D284.99%5C%5C%5C%5C%5Capprox%20285)
Mrs. Baca's share is given by
![\dfrac{2301}{7916}\times 600\\\\=175.08\\\\\approx 175](https://tex.z-dn.net/?f=%5Cdfrac%7B2301%7D%7B7916%7D%5Ctimes%20600%5C%5C%5C%5C%3D175.08%5C%5C%5C%5C%5Capprox%20175)
Mr. Canyon's share is given by
![\dfrac{1855}{7916}\times 600\\\\=140.60\\\\\approx 141](https://tex.z-dn.net/?f=%5Cdfrac%7B1855%7D%7B7916%7D%5Ctimes%20600%5C%5C%5C%5C%3D140.60%5C%5C%5C%5C%5Capprox%20141)
Hence, the share would be approximately $285, $175, $141 respectively.