Question

Can anyone solve this?

Answer 1

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

$55(y+5)+12y=409\\55y+275+12y=409\\67y=409-275\\67y=134$

Dividing both sides by 67

$\frac{67y}{67}=\frac{134}{67}\\y=2$

Putting y=2 in Eqn 2

$x=2+5\\x=7$

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

Learn more about substitution method at:

• brainly.com/question/10772249
• brainly.com/question/10781917

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Answer 2

Answer:

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:

the other guy is 100% correct