The senior classes at Snellville High and General High planned separate trips to the water park. The senior class at Snellville rented and filled 12 vans and 14 buses with 796 students. General High rented and filled 14 vans and 12 buses with 738 students. How many students would fill 2 buses and 3 vans?
2 answers:
Answer:
133
Step-by-step explanation:
Snellville
12v+14b = 796
General
14v+12b =738
We need to solve for v and b where v is how many on a van and b is how many on a bus
12v+14b = 796
14v+12b =738
Divide each equation by 2
6v+7b =398
7v+6b =369
Multiply the first equation by 7 and the second equation by -6
7(6v+7b) =7(398)
42v +49b =2786
-6(7v+6b) =369*-6
-42v -36b = -2214
Add these equations together
42v +49b =2786
-42v -36b = -2214
-------------------------------
13b = 572
Divide each side by 13
13b/13 = 572/13
b= 44
Now find v
6v+7b =398
6v +7(44)=398
6v +308 = 398
Subtract 308 from each side
6v = 90
Divide by 6
6v/6 = 90/6
v = 15
We want 2 b and 3 v
2b+3v = 2(44)+3(15) = 88+45=133
Answer:
133
Step-by-step explanation:
12V + 14B = 796
6V + 7B = 398 (1)
14V + 12B = 738
7V + 6B = 369 (2)
-7(1) + 6(2)
-42V - 49B = -2786
42V + 36B = 2214
-13B = -572
B = 44
6V + 7(44) = 398
6V = 90
V = 15
2B + 3V
2(44) + 3(15)
88 + 45
133
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