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
mixer [17]
4 years ago
12

The senior classes at High School A and High School B planned separate trips to New York City. The senior class at High School A

rented and filled 6 vans and 8 buses with 202 students. High School B rented and filled 12 vans and 10 buses with 284 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? please show work thank you.
Mathematics
1 answer:
Nezavi [6.7K]4 years ago
3 0
Class A: 6v + 8b = 202

Class B: 12v + 16b = 284

Solve using the elimination method:
since 6v and 12v are perfect for elimination, multiply the class A equation by 2 so that the van variable cancels out: 

12v + 16b = 404
12v + 10b = 284

Then subtract the bottom equation from the top:

6b = 120
b = 20 

Now you know that each bus can hold 20 students.
Just plug this into one of the original equations to solve for vans:

6v + 8(20) = 202
6v + 160 = 202
6v = 42 
v=7 

So then you know that each van can hold 7 students. 

Check:
12 (7) + 10 (20) = 284 


<span />
You might be interested in
What is the product of 1/2 and 3/5 ?
Svetradugi [14.3K]

Answer:

3/10

I think??

6 0
3 years ago
Read 2 more answers
Name
tankabanditka [31]

Answer:

1. ¹⁰/₁₂ and ⅚;

2. ⁸/₁₂ and ⁴/₆;

3. ⁶/₁₂ and ³/₆

Step-by-step explanation:

The question is asking what fractions of 12 are equivalent to fractions of some smaller number.

Derek cut his pizza into 12 slices. Let's say that Ryan cut his into 6 slices.

Scheme 1

Derek eats 10 slices, and Ryan eats 5 (Fig A )

Then Derek has eaten ¹⁰/₁₂ = ⅚ of a pizza and Ryan has eaten ⅚ of a pizza.

They each have ⅙ of a pizza left over.

The fractions here are ¹⁰/₁₂ and ⅚.

Scheme 2

Derek eats 8 slices, and Ryan eats 4 (Fig. B)

Then Derek has eaten ⁸/₁₂ = ⅔ of a pizza and Ryan has eaten ⁴/₆ = ⅔ of a pizza.

They each have ⅓ of a pizza left over.

The fractions here are ⁸/₁₂ and ⁴/₆.

Scheme 3

Derek eats 6 slices, and Ryan eats 3 (Fig. C)

Then Derek has eaten ⁶/₁₂ = ½ of a pizza and Ryan has eaten ³/₆ = ½ of a pizza.

They each have ½ of a pizza left over.

The fractions here are ⁶/₁₂ and ³/₆.

7 0
3 years ago
Adam, Tessa, and Nicki take pictures on
NARA [144]

Answer:

Adam took 59 less pictures than Nicki. 78-19=59

Step-by-step explanation:

You do not need to know how many pictures Tessa took. Because you are only finding out how many fewer pictures Adam took than Nicki.

7 0
4 years ago
Solve the equation<br> 6g + 4 = 28
denis23 [38]
X=4 is the answer :}
5 0
3 years ago
Someone plsss help me!!!!!
MariettaO [177]

Answer:

x = 2

Step-by-step explanation:

the formula for this problem is

Area = 1/2 base x Height

step 1) plug in what we know

5 = 1/2 base(5)

step 2) switch sides

1/2 base x 5 = 5

step 3) divide both sides by 1/2 x 5

\frac{1/2 base( 5)}{1/2(5)} = \frac{5}{1/2(5)}

step 4) Simplify

\frac{1/2 base (5)}{1/2 (5)}: b

step 5) Simplify

\frac{5}{1/2(5)}: 2

step 6) now you have gotten the answer<u> x = 2</u>

6 0
3 years ago
Other questions:
  • -4 ≥ x + 2 &lt; 1
    11·2 answers
  • 30 POINTS NEED URGENT HELP
    15·2 answers
  • An employer may conduct an aptitude test to check for what
    5·2 answers
  • The diagram shows an isosceles right
    9·2 answers
  • Monkey Chunks cereal is normally $3.25 per box but today it’s on sale for 25% off. What is the new price?Round to the nearest pe
    9·2 answers
  • What is the remainder when 19x^2 +14x +12 is divided by x-2?
    11·1 answer
  • What times 3 equals 3/10
    14·1 answer
  • What is the area of the base?
    9·2 answers
  • Four less than the product of 8 and a number equals 6
    9·1 answer
  • 100 points !! 3 answers !!
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!