The senior classes at High school A and High school B planned separate trips to New York city. The senior class at high school A rented and filled 1 van and 6 buses with 372 students, High school B rented and filled 4 vans and 12 buses with 780 students. Each van and each bus carried the same number of students. how many students can a van carry? How many students can a bus carry?

Each van carried 18 students and each bus carried 59 students.Step-by-step explanation:Let, students carried by one van = xstudents carried by one bus = yAccording to given statement;x+6y=372   Eqn 14x+12y=780   Eqn 2Multiplying Eqn 1 by 4[tex]4(x+6y=372)\\4x+24y=1488\ \ \ Eqn\ 3[/tex]Subtracting Eqn 2 from Eqn 3[tex](4x+24y)-(4x+12y)=1488-780\\4x+24y-4x-12y=708\\12y=708[/tex]Dividing both sides by 12[tex]\frac{12y}{12}=\frac{708}{12}\\y=59[/tex]Putting y=59 in Eqn 1[tex]x+6(59)=372\\x+354=372\\x=372-354\\x=18[/tex]Each van carried 18 students and each bus carried 59 students.Keywords: Linear equations, subtractionLearn more about linear equations at:brainly.com/question/10941043brainly.com/question/10978510#LearnwithBrainly