To find: How many of each type of vehicle could transport all 31 people to the ski area in one trip.
The number of van are 3 and number of sedan are 2.
Given information:
It is given that there are 26 members in a group and five chaperons. The number of seat in van is7 and number of seats in sedan are five.
Concept used: Substitution. Method of solving system of linear equation
Calculation:
Let the number of van be
There are 5 chaperons who drive either van or sedan that means total number of vehicles are 5.
Therefore, it can be written as:
In van 7 people can sit so total persons in van is
In sedan total five people can sit so total person in sedan is
Total person that either sit in van or sedan are 31.
Hence equation obtained
Thus, the system of equation is
Multiply equation (1) by 7 it becomes:
Now subtract equation (2) from (3):
Substitute the value of
The number of van are 3 and number of sedan are 2.
Chapter 3 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education