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The senior classes at High School A and High School B planned separate trips to the county fair. The senior class at High School A rented and filled 1 van and 7 buses with 197 students. High School B rented and filled 12 vans and 1 bus with 123 students. Each van and each bus carried the same number of students. Find the number of students in each van and in each bus. Group of answer choices

Sagot :

Answer:

No. of students in each Van = 8 , No. of students in each Bus = 27

Step-by-step explanation:

Let number of students in one van be = V {Same for both schools}

Let number of students in one bus be = B {Same for both schools}

School A, 1 van & 7 buses have 197 students. (1 x V) + (7 x B) = 197 {Eq1}

School B, 12 vans & 1 bus have 123 students. (12 x V) + (1 x B) = 123 {Eq3}

Solving Eq 1 & Eq 2 : V + 7B = 197 ; & 12V + B = 123

From Eq 1 , V = 197 - 7B . Putting this value in eq 2, 12 (197 - 7B) + B = 123

2364 - 84B + B = 123 ; -83B = 123 - 2364 ; -83B = -2241 ; B = 2241/ 83 = 27

From Eq 1 : V = 197 - 7B ; V = 197 - 7 (27) = 197 - 189  ; V = 8

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