MATHEMATICS COLLEGE

The local orchestra has been invited to play at a festival. There are 111 members of the orchestra and 6 are licensed to drive large multi-passenger vehicles. Busses hold 25 people but are much more expensive to rent. Passenger vans hold 12 people. make a system of equations to find the smallest number of busses the orchestra can rent. Let x= the number of busses and y= the number of vans make an equation representing the number of vehicles needed. make an equation representing the total number of seats in vehicles for the orchestra members. Solve the system of equations. How many busses does the orchestra need to rent? How many 12-passenger vans does the orchestra need to rent? ____

Answers

Answer 1

Answer:

Using a Systemof equations, the numberof buses and vans required are 3respectively.

Usingthesystemofequations:

Totalnumberofbuses:

b + v ≤ 6 - - - - (1)

Totalnumberofpassengers:

25b + 12v ≥ 111 - - - - (2)

From (1)

b = 6 - v - - - - - (3)

Substitute(3)into(2)

25(6-v) + 12v = 111

150 - 25v + 12v = 111

-13v = 111 - 150

-13v = - 39

v=39/13

v=3

From (3)

b = 6 - 3

b=3

Hence, the number of vans and buses required are 3and 3 respectively.

Learn more : brainly.com/question/16144029

Answer 2

Answer:

- Make an equation representing the number of vehicles needed.

We have six drivers so

x + y ≤ 6

That's not really an equation; it's an inequality. We want to use all our drivers so we can use the small vans, so

x + y = 6

- Make an equation representing the total number of seats in vehicles for the orchestra members.

s = 25x + 12y

That's how many seats total; it has to be at least 111 so again an inequality,

25x + 12y ≥ 111

We solve it like a system of equations.

x + y = 6

y = 6 - x

111 = 25x + 12y = 25x + 12(6-x)

111 = 25x + 72 - 12x

111 - 72 = 13 x

39 = 13 x

x = 3

Look at that, it worked out exactly. It didn't have to.

y = 6 - x = 3

Answer: 3 buses, 3 vans

Related Questions

What the answer to this math problom
Estimate the quotient by rounding the expression to relate to a one-digit fact. Explain your thinking in the space below. a. 432 ÷ 73 ___________ b. 1,275 ÷ 588 ___________
Write an expression that represents 72 divided by n plus 4
A rectangle has vertices (−5, 6), (−1, 6), (−1, 3), and (−5, 3). It is first dilated by the rule (x, y)→(7x, 7y) and then translated 10 units down. What are the coordinates of the image?A(−35, 32), (−7, 32), (−7, 11), (−35, 11)B(−45, 42), (−17, 42), (−17, 21), (−45, 21)C(−105, 42), (−77, 42), (−77, 21), (−105, 21)D(−35,−28), (−7,−28), (−7,−49), (−35,−49)
At the start of the day there was 129.75 in the till one hour later there is 145.40 how much did the shop take in a hour

Below is a table showing the investment and the investment period of

Answers

Answer:

hey. pls complete your question.

Chili recipe makes enough for 4 servings. The recipe calls for 5 tomatoes. You plan on making enough chili for 10 servings. How many tomatoes will you use?

Answers

Answer:There are 4 servings and if there is So we use 19 tomatoes

Step by Step explanation:U have to do addition i think cause we have just 5 tomatoes and i plan to make enought chili for 10 serving

Write 1/10 as a decimal number

Answers

Answer:

0.1

Step-by-step explanation:

hope this helps

What'd the greatest common factor (GCF) for each pair of numbers. 25, 55 The GCE IS

Answers

Answer:

Step-by-step explanation:

5 l 25,55

l 5,11

The minimum monthly payment for Janice’s credit card is 2% of her balance or $10, whichever is higher. If Janice’s balance at the end of her last billing cycle was $820, what is her minimum monthly payment?A) $16.40
B) $10.00
C) $25.20
D) $5.20

Answers

820*.02=16.4
correct answer is A) $16.40

$16.40 *apex answer*

50 points!!What are the factors of the following polynomial: x^2−x−56
Do not include any spaces in your answer. Use parentheses to separate your factors. A sample answer might be (x+1)(x-4).