1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kobusy [5.1K]
3 years ago
6

Someone please help!!

Mathematics
2 answers:
marta [7]3 years ago
8 0

Answer:

             Van: 18,  Bus: 59

Step-by-step explanation:

b   - number of students that bus can carry

v   - number of students that van can carry

6•b + 1•v = 372     -  students from A

6b + v = 372    ⇒  v = 372 - 6b

12•b + 4•v = 780     -   students from B

12b + 4(372 - 6b) = 780

12b + 1488 - 24b = 780

- 12x = - 708

   <u>b = 59</u>    

<u>v = 372 - 6•59 = 372 - 354 = 18</u>

Katena32 [7]3 years ago
5 0

After solving for both variables, you find that each bus can hold 59 students and each van can hold 18 students.

Step-by-step explanation:

You can find the amount of students each vehicle can carry by representing the two scenarios in equations.

You are trying to find how many students will fit in each bus or van, so the two variables used will be "b" to represent how many students can fit in a bus and "v" to represent how many students can fit in a van.

High school A used 1 van and 6 buses, so there will be 1"v" and 6"b" for 372 students.

High school B used 4 vans and 12 buses, so there will be 4"v" and 12"b" for 780 students.

Now, represent these in equations:

v+6b = 372\\4v + 12b = 780

We can use substitution to solve this system:

v + 6b = 372 can be rewritten as v = 372 - 6b after subtracting 6b from both sides. You can then substitute this new value of "v" into the other equation to solve for "b":

4(372-6b) + 12b = 780\\1488 - 24b + 12b = 780\\1488 - 12b = 780\\-12b = -708\\b = 59

After solving for b, you can then substitute the new value of b into the other equation to find the value of v:

v + 6(59) = 372\\v + 354 = 372\\v = 18

After solving for both variables, you find that each bus can hold 59 students and each van can hold 18 students.

You might be interested in
What is the volume of the following rectangular prism?
Ksenya-84 [330]

Answer:

You multiply the L, W, and H. that should you to your answer!

Hope this helps! :)

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A police officer investigating an accident finds a skid mark of 115 ft in length. How fast was the car going when the driver app
Zina [86]
Pretty fast consider 115ft wasn't enough to avoid an accident..
8 0
3 years ago
Please help me with this. I forgot the formula for this
Lapatulllka [165]
There is the formula now just plug in the values and you will get your answer.

7 0
3 years ago
What is the value of x?
svet-max [94.6K]

Answer:

ur getting suspended

Step-by-step explanation:

im ur teacher

3 0
3 years ago
Need help with this problem
Anika [276]

Answer:

x=48

Step-by-step explanation:

32+4=36+12+x=48

solve for x

x=48

7 0
3 years ago
Other questions:
  • Anyone know the answer?
    13·1 answer
  • What are 3 consecutive numbers that is the sum of -27.please be right.use odd numbers
    12·1 answer
  • Anserw first and get brainliest Which is a simplified form of the expression 6(2t – 3) + 3(t + 5)?
    9·2 answers
  • Evaluate 3 squared times 3 cubed
    13·1 answer
  • PLEASE HELP! WILL GIVE BRAINLIEST!
    6·2 answers
  • Ben scores 56 out of 79 what is his percentage to the nearest decimal spac
    6·1 answer
  • Are you sure about the answer?
    6·2 answers
  • Get brainiest if right!! <br> 10 points!!
    8·1 answer
  • A department store purchases a coat for $75. To make a profit, the price is increased by 133%. What is the new price of the coat
    7·1 answer
  • Carlos has 4.5 pounds of flour she needs three out of 4 pound of flour to make pizza what is the greatest number of pizzas Carlo
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!