Lauren H. answered • 11/17/18
Tutor
4.8
(24)
Experienced High School Chemistry Teacher
So far,
55b + 12v = 409
Possible answer: 409 - 24 = 385
385/55 = 7
7 buses of 55
2 vans of 12
Mr S.
This question makes more sense with a graph, but we can do it a different way instead. Answer at the bottom. Ms H did this in a top-down way, which is great, so let's try to understand it from a bottom-up way. 1) Each bus transported 55 students and teachers 2) Each van transported 12 students and teachers Ms H formulated this into an equation to convert buses and vans into "students and teachers" 55b + 12v = 409 sounds good, so now we just need to find how many buses and vans we actually have! Look to the final piece of info we have: Rule: 3) There were 5 more buses than vans. Cool beans. They key here is that we need to find how many buses and how many vans we start with, and the relationship between the two! Let's find a way to add vans one by one, and see how many buses we get. Then we can see how many students they carry together: In order to have 0 vans we need our rule to work: >There were 5 more buses than vans. b is bus, v is van with 0 vans, we have 5 more buses than vans right? v=0 0 + 5 = b ok so our equation for finding how many buses we have based on vans is: v + 5 = b let's see how many students we can carry with 0 vans and 5 buses: Ms H's equation is the conversion! 55b + 12v 55(5) + 12(0) = 275 This is hardly 409, so let's continue our rule! v=1 v + 5 = b (1) + 5 = b 6 = b Let's plug these values back into Ms H's conversion: 55b + 12v 55(6) + 12(1) = 330 + 12 = 342 Not quite 409 yet. Keep them vans and buses coming! v=2 v + 5 = b 2 + 5 = 7 55b + 12v 55(7) + 12(2) = 385 + 24 = 409 There you go! 7 busses, 2 vans 385 and 24 students in each type of car respectively. FINAL ANSWER
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11/30/22
Dani B.
Can you explain to me where the 385 came from and what the possible answer means please.12/08/20