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Can someone please help me on this problem? Please?

Two machines are packing spaghetti into boxes. The smaller machine can package 400 boxes per hour and the larger machine can package 600 boxes per hour. If the larger machine is on for 2 hours before the smaller machine is turned on, how long after the smaller machine is turned on will a total of 15,000 boxes of spaghetti be boxed?
Please, I need help on how to set up this equation) *homework due tomorrow if the Lord will

Respuesta :

apologiabiology
600*2=1200
15000-1200=13800
13800/400=34.5

answer is 34.5 hours
the larger machine is turned on for 2 hours before the small one, so 1 200 boxes are already made.
1 h = 1000 boxes
13 800 boxes left: 13 800/1000 = 13.8 hours

1,200 + 600t + 400t = 15,000 boxes
1,200 + 1,000t = 15,000
1,000t = 15,000 - 1,200
1,000t = 13,800
t = 13,800/1,000
t = 1 hour 48 min

hope this help