1. The church youth group is selling snacks to raise money to attend their convention. Amy sold 2 pounds of candy, 3 boxes of cookies and 1 can of popcorn for a total sale of $65. Brian sold 4 pounds of candy, 6 boxes of cookies and 3 cans of popcorn for a total sale of $140. Paula sold 8 pounds of candy, 8 boxes of cookies and 5 cans of popcorn for a total sale of $250. What is the cost of each item? ($20 candy, $5 cookies, $10 popcorn) [USE CRAMER'S RULE]

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. The church youth group is selling snacks to raise money to attend
their convention. Amy sold 2 pounds of candy, 3 boxes of cookies
and 1 can of popcorn for a total sale of $65. Brian sold 4 pounds of
candy, 6 boxes of cookies and 3 cans of popcorn for a total sale of
$140. Paula sold 8 pounds of candy, 8 boxes of cookies and 5 cans
of popcorn for a total sale of $250. What is the cost of each item?
($20 candy, $5 cookies, $10 popcorn) [USE CRAMER'S RULE]
I
2. After watching a major musical production at the theater, the
patrons can purchase souvenirs. If a family purchases 4 t-shirts,
the video, and 1 stuffed animal, their total is $135. Another family
buys 2 t-shirts, the video, and 3 stuffed animals for their nieces
and spends $115. A third family buys 2 t-shirts, the video, and 1
stuffed animal and their total is $85. What is the cost of each item?
[USE G-J ELIMINATION]
Transcribed Image Text:1. The church youth group is selling snacks to raise money to attend their convention. Amy sold 2 pounds of candy, 3 boxes of cookies and 1 can of popcorn for a total sale of $65. Brian sold 4 pounds of candy, 6 boxes of cookies and 3 cans of popcorn for a total sale of $140. Paula sold 8 pounds of candy, 8 boxes of cookies and 5 cans of popcorn for a total sale of $250. What is the cost of each item? ($20 candy, $5 cookies, $10 popcorn) [USE CRAMER'S RULE] I 2. After watching a major musical production at the theater, the patrons can purchase souvenirs. If a family purchases 4 t-shirts, the video, and 1 stuffed animal, their total is $135. Another family buys 2 t-shirts, the video, and 3 stuffed animals for their nieces and spends $115. A third family buys 2 t-shirts, the video, and 1 stuffed animal and their total is $85. What is the cost of each item? [USE G-J ELIMINATION]
3. After a major league baseball game, the patrons often purchase
souvenirs. A family purchases 4 t-shirts, 1 cap and 1 stuffed animal
for a total of $135. A couple buys 2 t-shirts, a cap and 3 stuffed
animals for their nieces and spends $115. Another couple buys 2 t-
shirts, a cap and 1 stuffed animal and their total is $85. What is the
cost of each item? ($25, $20, $15) [USE INVERSE MATRIX PROCESS]
4. The community college soccer team sold three kinds of tickets to
its latest game. The adult tickets sold for $10, the student tickets
for $8 and the child tickets for $5. The soccer team was thrilled to
have sold 600 tickets and brought in $4,900 for one game. The
number of adult tickets is twice the number of child tickets. How
many of each type did the soccer team sell? (200 adult, 300 student,
100 child) [USE G-J ELIMINATION]
Transcribed Image Text:3. After a major league baseball game, the patrons often purchase souvenirs. A family purchases 4 t-shirts, 1 cap and 1 stuffed animal for a total of $135. A couple buys 2 t-shirts, a cap and 3 stuffed animals for their nieces and spends $115. Another couple buys 2 t- shirts, a cap and 1 stuffed animal and their total is $85. What is the cost of each item? ($25, $20, $15) [USE INVERSE MATRIX PROCESS] 4. The community college soccer team sold three kinds of tickets to its latest game. The adult tickets sold for $10, the student tickets for $8 and the child tickets for $5. The soccer team was thrilled to have sold 600 tickets and brought in $4,900 for one game. The number of adult tickets is twice the number of child tickets. How many of each type did the soccer team sell? (200 adult, 300 student, 100 child) [USE G-J ELIMINATION]
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