Homework Help: math

Posted by nikki on Wednesday, March 3, 2010 at 1:26am.

rainbow Harbor Cruises charges $16/adult and $8/child for a round trip ticket. The records show that on a certain weekend, 1200 people took the cruise on saturady and 800 people took the cruise on sunday, The total receipte for saturday were $13,600 and the total receipts for sunday were $9,600. Determine how many adults and children took the cruise on saturday and sunday set up two systems o linear equations and use the inverse of the coefficient matrices to answwer the question

math - KuriousG123, Monday, July 23, 2012 at 10:41pm
Using the inverse of a Matrix:

Let ‘a’ be adults and ‘c’ be children
a + b = 1000
16 a + 8b = 12,800

1 1 1000 -16 R1 (R2) 1 1 1000 R2 / 8
16 8 12800 0 -8 -3200

1 1 1000 -1 R2 + R1 1 0 600
0 1 400 0 1 400

Therefore, there were 600 adults and 400 children on Saturday.

SUNDAY

a + b = 800
16a + 8 b = 9600

1 1 1000 -16 R1 (R2) 1 1 1000 R2 / 8
16 8 12800 0 -8 -3200

1 1 1000 -1 R2 + R1 1 0 400
0 1 400 0 1 400

Therefore there were 400 adults and 400 children on Saturday.

Answer this Question

Related Questions

math hurry please - Each child ticket for a ride costs $3, while each adult ...
math - a movie theater charges $7 for an adult's ticket and $4 for a child&#...
ALG2! WORD PROBLEM!very important!! - There are two adults and three children (...
Math - Game tickets for 1 adult and 2 kids is $21. The adult ticket is $3 more ...
ALG2! WORD PROBLEM! PLZ HELP!! - A family of 5 comes to the amusement park. ...
math - A school sells tickets for a show, (a) adult tickets and (c) child ...
math - if a child and adult paid $23 for 2 tickets and an adult ticket is $6.50 ...
Math - A child's train ticket costs $7. That is 1/4 as much as an adult'...
College Physics - A child plays on a bungee cord and oscillates with a certain ...
math - Find the number of round trip commuter rail tickets sold. 1.Thirty times ...

For Further Reading

First Name:
School Subject:
Answer: