math

posted by .

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 -

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.

• math -

56

Similar Questions

1. math

Last month, Bob took a cruise from Florida to the Bahamas. The cost of his round-trip ticket was \$832. The federal excise tax on the cruise was 8%, and Florida has a sales tax rate of 6%. What was the total purchase price of Bob’s …
2. math

The owner of a luxury motor yacht that sails among the 4000 Greek islands charges \$630 per person per day if exactly 20 people sign up for the cruise. However, if more than 20 people (up to the maximum capacity of 90) sign up for the …
3. Math

Rainbow Harbor Cruises charges \$16/adult and \$8/child for a round-trip ticket. The records show that, on a certain weekend, 900 took the cruise on Saturday and 600 took the cruise on Sunday. The total receipts for Saturday were \$12,800, …
4. Math

Rainbow Harbor Cruises charges \$16/adult and \$8/child for a round-trip ticket. The records show that, on a certain weekend, 900 took the cruise on Saturday and 600 took the cruise on Sunday. The total receipts for Saturday were \$12,800, …
5. math

The owner of a luxury motor yacht that sails among the 4000 Greek islands charges \$430 per person per day if exactly 20 people sign up for the cruise. However, if more than 20 people (up to the maximum capacity of 90) sign up for the …
6. math

The owner of a luxury motor yacht that sails among the 4000 Greek islands charges \$430 per person per day if exactly 20 people sign up for the cruise. However, if more than 20 people (up to the maximum capacity of 90) sign up for the …
7. math

The owner of a luxury motor yacht that sails among the 4000 Greek islands charges \$430 per person per day if exactly 20 people sign up for the cruise. However, if more than 20 people (up to the maximum capacity of 90) sign up for the …
8. Math

The owner of a luxury motor yacht that sails among the 4000 Greek islands charges \$430 per person per day if exactly 20 people sign up for the cruise. However, if more than 20 people (up to the maximum capacity of 90) sign up for the …
9. math

The owner of a luxury motor yacht that sails among the 4000 Greek islands charges \$630 per person per day if exactly 20 people sign up for the cruise. However, if more than 20 people (up to the maximum capacity of 90) sign up for the …
10. math

Rainbow Harbor Cruises charges \$16/adult and \$8/child for a round-trip ticket. The records show that, on a certain weekend, 1400 took the cruise on Saturday and 1000 took the cruise on Sunday. The total receipts for Saturday were \$18,400, …

More Similar Questions