Question

PLEASE HELP More than 370 students went on a field trip. Twelve buses were filled and 10 more students traveled in a car. Let the variable x represent the number of students on each bus. In the first blank, write a linear inequality to represent this situation (no spaces). Solve the inequality to determine how many students can fit on a bus. Write your solution as a an inequality using x in the second blank.

Answer 1

Inequality:
`12x+10>370`

Solution:
`x>30`

Explanation:

Let the variable x represent the number of students on each bus, then in 12 buses there are 12x students.

10 more students traveled in a car, then the total nuber of students is 12x + 10.

More than 370 students went on a field trip, so

`12x+10>370`

Solve this inequality. First, subtract 10 from both sides:

`12x+10-10>370-10\\ \\12x>360`

Now divide both sides by 12:

`x>30`