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
Elena L [17]
3 years ago
10

1. The Senior Class of Great Ridge High School and Ann Arbor High School are planning a trip to Six Flags Theme Park. Great Ridg

e High school is planning to rent and fill 14 vans and 16 busses with 1152 students. Ann Arbor High School is planning to fill 10 vans and 13 buses with 925 students.
(1) Write the equations you are using to represent this system. Be sure to identify what each variable
represents.
(2) If every bus and van have the same number of students, find the number of students in each bus and
van. Show your work.
(3) Identify the method you used to solve this system and explain why you chose this method.
Mathematics
1 answer:
Zanzabum3 years ago
7 0

Answer:

A)14v + 16b = 1152

10v + 13b = 925

B)Number of students in a van = 8

Number of students in each bus = 65

C) Elimination method was easier.

Step-by-step explanation:

Let v be the number of students in a van

Let b be number of students in a bus

A) We are told the first school can fill 14 vans and 16 buses with 1152 students

Thus;

14v + 16b = 1152 - - - - - (eq 1)

Also,we are told that the second school can fill 10 vans and 13 buses with 925 students.

Thus;

10v + 13b = 925 - - - - (eq 2)

B) To solve this we will use elimination method.

Multiply eq (1) by 5 and multiply eq (2) by 7 to give;

70v + 80b = 5760 - - - - eq(3)

70v + 91b = 6475 - - - - - eq(4)

Subtract eq(3) from eq(4) to give;

91b - 80b = 6475 - 5760

11b = 715

b = 715/11

b = 65

Put 65 for b in eq(3) to give;

70v + 80(65) = 5760

70v = 5760 - 80(65)

70v = 560

v = 560/70

v = 8

Number of students in a van = 8

Number of students in each bus = 65

C) Elimination method was used because in both equations, we had different digits attached and so it would have been more tedious to use substitution method or graphical method. Thus, elimination method was more easier.

You might be interested in
Express 0.106 as a fraction
Sav [38]

Express 0.106 as a fraction.

➜ 0.106 = 106/1000

7 0
3 years ago
We can describe 3x - 2 as an expression.
Lesechka [4]

Given:

3x - 2

To find:

Describe the parts of the expression

Solution:

3x - 2Let us consider, f (x) = 3x - 2

The standard equation of the straight line is given by, y = mx + c

comparing the given equation with straight line equation, we get,

f (x) = y

m = 3

c = -2

m is the gradient of line

c is the y intercept (the graph crosses the y - axis)

3 0
2 years ago
How do i solve 2/7v-1/7+14=20
SashulF [63]

Answer: 1: Combine multiplied terms into a single fraction

2: Multiply the numbers

3: Add the numbers

4: Solution

= 43/2

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Please help me with these problems !
Semmy [17]
7. 60 degrees
8. 33 degrees
9. 37 degrees
10. 74 degrees
6 0
3 years ago
A gardener plants a bed of flowers such that he plants twenty day lilies in the first row, twenty-six day lilies in the second r
dlinn [17]
He planted 92 of those because 12 times 6 is 72 and 72 plus 20 is 92 therefore the answer is 92
8 0
3 years ago
Other questions:
  • Devante and Brayden went shopping. Devante spent $17 less than Brayden. If we let r represent how much Brayden spent, write an a
    7·1 answer
  • If 15% of 200 apples or bad how many apples are bad​
    12·1 answer
  • Indicate whether each of the following statements is true or false (brie y explain your reason). (a) [1pt] Consider a standard L
    6·1 answer
  • Simplify the expression<br> 1 point<br><br> 3² x 4+5<br><br> 29<br> 54<br> 41<br> 81
    15·1 answer
  • Can someone please help
    12·2 answers
  • Jordan has 300 pieces of candy. He gives Adrian ¼ pieces, 10% was given to Darien and he gave his little brother 25 pieces. Expl
    6·1 answer
  • Monica invierte $500 en un banco que paga un 15% interés simple
    11·1 answer
  • Given that Triangle KLM is congruent to Triangle RQP, what is the measurement of Side KL? Fill in the blank with only the numeri
    15·2 answers
  • Please help me answer this.
    11·2 answers
  • HELP PLEASE 10 POINTS
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!