The state fair is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 1 van and 10 buses with 258 students. High School B rented and filled 8 vans and 5 buses with 264 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?

The van holds 18 students

The bus holds 24 students

Step-by-step explanation:

v = van  b = bus

High School A

1v+10b = 258

High School B

8v+5b = 264

Multiply the second equation by -2

-16v - 10b = -528

Add  this to the first equation

-16v - 10b = -528

1v+10b = 258

-15v      = -270

Divide each side by -15

-15v/-15 = -270/-15

v =18

The van holds 18 students

Now we need to find the number the bus holds

1v+10b = 258

18 + 10b = 258

Subtract 18 from each side

18-18+10b = 258-18

10b=240

Divide each side by 10

10b/10 =240/10

b = 24

The bus holds 24

Van: 18

Bus: 24

Step-by-step explanation:

V + 10B = 258

V = 258 - 10B

8V + 5B = 264

8(258 - 10B) + 5B = 264

2064 - 80B + 5B = 264

75B = 1800

B = 24

V = 258 - 10(24) = 18

introduction, methodology, results, discussion

step-by-step explanation:

an observational study is one which consists of actual observation to record data and then analyse the data.

there are a number of factors that should be analyzed before starting an observational study.

the main four factors are:

i) introduction:   this should be analysed to check whether the purpose of the study is correctly established and the data recorded are appropriate for the study

methodology:   the method of collecting the data, such as whether randomly selected, and whether sample size matches with the population to be studied, whether questions asked are easy to answer by common men, etc.

results: then results such as summary of data with comments should be studied thoroughly

discussion:   the last is the discussion, this can be either by management people or persons who are all interested , etc.

30 miles

step-by-step explanation:

we know that 60 seconds equals 1 minute and 60 minutes 1 hour

44 ft       60 sec     60 min     158400   ft

  *   *   =

1 sec       1 min       1 hour         hour

we know that there are 5280 ft per mile

158400   ft       1 mile         30 miles

  *   =

1   hour               5280 ft     1 hour

so in 1 hour   it can travel 30 miles