SOLUTION: School A and School B have taken a field trip to a professional baseball game. School A took eight vans and eight buses to get it's 240 students to the game. School B took 4 vans

Algebra ->  Equations -> SOLUTION: School A and School B have taken a field trip to a professional baseball game. School A took eight vans and eight buses to get it's 240 students to the game. School B took 4 vans       Log On


   

Question 1051894: School A and School B have taken a field trip to a professional baseball game. School A took eight vans and eight buses to get it's 240 students to the game. School B took 4 vans and one bus to get it's 54 students to the game. Find the number of students that were in each van and bus.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = number in a van
Let +b+ = number in a bus
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(1) +8a+%2B+8b+=+240+
(2) +4a+%2B+1%2Ab+=+54+
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Multiply both sides of (2) by +2+
and subtract (2) from (1)
(1) +8a+%2B+8b+=+240+
(2) +-8a+-+2b+=+-108+
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+6b+=+132+
+b+=+22+
and
(2) +4a+%2B+1%2A22+=+54+
(2) +4a+=+54+-+22+
(2) +4a+=+32+
(2) +a+=+8+
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There were 8 students in a van and
22 students in a bus
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check:
(2) +4a+%2B+1%2Ab+=+54+
(2) +4%2A8+%2B+1%2A22+=+54+
(2) +32+%2B+22++=+54+
(2) +54+=+54+
OK
You can check (1)