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
NISA [10]
3 years ago
13

All 231 students in math club went on a field trip some rode in vans that held 7 people and some rode on buses that held 25 peop

le if it was 15 total vehicles how many of each type was it
Mathematics
1 answer:
MariettaO [177]3 years ago
8 0

Answer:

8 vans

7 buses

Step-by-step explanation:

Let there be "b" buses

and "v" vans

Since 7 people is the capacity of vans, the total capacity is

7v

Also, since 25 people is the capacity of 1 bus, the total capacity is

25b

In total 231 people, so we can write our first equation as:

7v + 25b = 231

Now, we know there are 15 vehicles (bus + vans) in total, so we can write our 2nd equation as:

v + b = 15

Now, we solve for v and b. Let's solve the 2nd equation for v and substitute that into 1st and solve for b first:

v + b = 15

v = 15 - b

Now,

7v + 25b = 231\\7(15-b) + 25b = 231\\105-7b+25b=231\\18b=126\\b=7

Hence, there are 7 buses

Since 15 vehicles in total, the number of vans is:

15 - 7 = 8 vans

So,

8 vans

7 buses

You might be interested in
The product of two consecutive positive even integers is 440. what are the integers
Natali [406]
1st integer: x
2nd integer: x+2 

Multiply them: x(x+2)=440
X^2+2x-440=0 
Use the quadratic formula 
x=-22 or x=20 
Since x must be a positive integer number, x=20.

Answer: 
1st: 20.
2nd: 22 

Rate High and send a personal message if you want detailed answers on your math questions.
4 0
3 years ago
What value of x is in the solution set of –2(3x + 2) &gt; –8x + 6?<br><br> –6<br> –5<br> 5<br> 6
Assoli18 [71]

Answer: X=6

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
HELPPPPPPP ASAPPPPPPPP PLSSSS
Novay_Z [31]

Answer:

the first one is. hope helps

5 0
3 years ago
A rectangular park is 56 mi wide and 157 mi long. What is the area of the park as a mixed number simplest form? Enter your answe
zimovet [89]
A(area) = b(base) * h(height)

A = 56 * 157

A = 8,792 mi^2
4 0
3 years ago
Read 2 more answers
Which shows two expressions that equivalent ​
AveGali [126]

Answer:

Option A is the answer...

-7*-15*-5=-525

-7*-75=-525

-1*525=-525

6 0
2 years ago
Other questions:
  • What is the perimeter of a triangle with side lengths 2x (3x-1) and (4x+5)?
    11·1 answer
  • Which of the following represents the proportion 6 is to 9 as 12 is to 18?
    11·1 answer
  • Please help, I am literally freaking out.
    6·1 answer
  • What is the equation of a line perpendicular to line with equation 2x-5y=5
    13·1 answer
  • What’s the unit rate of y = 6x
    7·1 answer
  • Help me find the answer please need help asap
    6·1 answer
  • Which of the following tables represents a proportional relationship?
    11·1 answer
  • FIND THE VOLUME<br><br> 4f<br> 9 ft<br> 16 ft
    15·2 answers
  • Please Answer for brainliy i only have 5 mins left of class
    15·1 answer
  • Can anyone solve this ASAP
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!