24 students and teachers rode to the zoo in vans and 385 students and teachers rode to the zoo in buses.
Step-by-step explanation:
Given,
Total number of students and teachers = 409
Students and teachers in each bus = 55
Students and teachers in each van = 12
Let,
x be the number of buses
y be the number of vans
55x+12y=409 Eqn 1
x = y+5 Eqn 2
Putting value of x from Eqn 2 in Eqn 1
Dividing both sides by 67
Putting y=2 in Eqn 2
Number of students and teachers who rode in vans = Number of vans * Teachers and student in each van
Number of students and teachers who rode in vans = 12*2 = 24
Number of students and teachers who rode in buses = 7*55 = 385
24 students and teachers rode to the zoo in vans and 385 students and teachers rode to the zoo in buses.
Keywords: linear equation, substitution method
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