algebra

The Big Screamer Coaster carries 92 people altogether. Some of its cars carry 4 passengers, and the rest carry 6 passengers. There are three less 6-passenger cars than 4-passenger cars. How many 4-passenger cars are there?

  1. 👍
  2. 👎
  3. 👁
  1. first, represent them as variables:
    let x = four-passenger cars
    let y = six-passenger cars
    set up the equations [since two unknowns, you must have two equations]:
    (1) 4x+6y=92 ==> since 92 people altogether
    (2) y=x-3 ==> since three less six-passenger cars

    then you can substitute the equation (2) to (1):
    4x+6(x-3)=92
    4x+6x-18=92
    10x=110
    x=11 four-passenger cars

    i hope i was able to help.. =)

    1. 👍
    2. 👎
  2. thank you this was very helpful

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    The owner of a luxury motor yacht that sails among the 4000 Greek islands charges $960/person/day if exactly 20 people sign up for the cruise. However, if more than 20 people sign up (up to the maximum capacity of 100) for the

  2. Math

    The hourly operating cost of an airplane, which seats up to 405 passengers, is estimated to be $5,500. If an airline charges each passenger a fare of $100 per hour of flight, find the hourly profit P it earns operating the

  3. Science

    2. How does the gravitational potential energy of Coaster A compare with that of Coaster B? An image shows two roller coasters. At the left, coaster A is positioned at the top of a 30 meter hill. To the right, coaster B is atop a

  4. Math

    1. What percent of people chose the Ferris wheel or the carousel as their favorite ride? Other 19% Ferris wheel 18% Carousel 25% Roller coaster 38% A. 25% B. 37% C. 43% < -- C? D. 56% 2. Two hundred people were surveyed about

  1. Repost-Physics 1

    Consider a roller coaster that moves along the track shown in the figure below. Assume all friction is negligible and ignore the kinetic energy of the roller coaster's wheels. Assume the roller coaster starts with a speed of 19

  2. Calculus

    Could someone help me setup an equation for this equation? --------------------------------- A city bus system carries 4000 passengers a day throughout a large city. The cost to ride the bus is $1.50/person. The owner realizes

  3. Probability #2

    Baggage fees. An airline charges the following baggage fees: $25 for the rst bag and $35 for the second. Suppose 54% of passengers have no checked luggage, 34% have one piece of checked luggage and 12% have two pieces. We suppose

  4. MATH

    A parking lot has 5 spots remaining and 5 different cars in line waiting to be parked. If one of the cars is too big to fit in the two outermost spots, in how many different ways can the five cars be arranged?

  1. Statistics

    The Boeing 757-200 ER airliner carries 200 passengers and has doors with a height of 72 inches. Heights of men are normally distributed with a mean of 69 inches and a standard deviation of 2.8 inches. b) assume that half of the

  2. Math

    The latest thrill ride at a popular theme park takes roller coaster fans on an exciting ride. In the first 20 seconds, it carries its passengers up a 100 meter hill, plunges them 72 meters down and quickly takes them back up a 48

  3. statistics

    The Boeing 757-200 ER airliner carries 200 passengers and has doors with a height of 72 inches. Heights of men are normally distributed with a mean of 69.0 inches and a standard deviation of 2.8 inches. If half of the 200

  4. math

    The Citation Sovereign is a small jet that can carry up to 2650 pounds. The number of passengers, p, and the number of suitcases, c, that the airplane can carry are estimated by the equation 180p + 60c = 2650. If 10 people board

You can view more similar questions or ask a new question.