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Name ______________________________________________
Date ________________________ Period _______
Systems of Equations Word Problems (Standard 9.0)
1) Find the value of two numbers if their sum is 12 and their difference is 4.
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2) The difference of two numbers is 3. Their sum is 13. Find the numbers.
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3) Kirigami is the Japanese art of making paper designs by folding and cutting paper. A student sells small and large greeting cards decorated with kirigami
at a craft fair. The small cards cost $3 per card, and the large cards cost $5 per card. The student collects $95 for selling a total of 25 cards. How many of
each type of card did the student sell?
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4) Tickets for admission to a high school football game cost $3 for students and $5 for adults. During one game, $2995 was collected from the sale of 729
tickets. Find the number of tickets sold to students. __________________________________
5) A sports equipment store is having a sale on soccer balls. A soccer coach purchases 10 soccer balls and 2 soccer ball bags for $155. Another soccer coach
purchases 12 soccer balls and 3 soccer ball bags for $189. Find the cost of a soccer ball and the cost of a soccer ball bag.
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6) The senior classes at High School A and High School B planned separate trips to New York City. The senior class at High School A rented and filled 1
van and 6 buses with 372 students. High School B rented and filled 4 vans and 12 buses with 780 students. Each van and each bus carried the same
number of students. How many students can a van carry? How many students can a bus carry?
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HW
7) A recreation center charges nonmembers $3 to use the pool and $5 to use the basketball courts. A person pays $42 to use the recreation facilities 12
times. How many times did the person use the pool? _______________________________
8) Brenda's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 3 senior citizen tickets and 9 child tickets for a total of
$75. The school took in $67 on the second day by selling 8 senior citizen tickets and 5 child tickets. What is the price each of one senior citizen ticket and
one child ticket?
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9) Mark and Maggie are selling fruit for a school fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Mark sold 3 small boxes
of oranges and 14 large boxes of oranges for a total of $203. Maggie sold 11 small boxes of oranges and 11 large boxes of oranges for a total of $220.
Find the cost one small box of oranges and one large box of oranges.
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Notes- Part 2
Systems of Equations Word Problems (Standard 9.0)
When setting up linear equations use the chart below as guidance.
Example 2: Christine O'Donovan Middle Academy is selling football tickets for a home game. The school sold 35 tickets for $86 on the first day of the sale.
Student tickets cost $2 each and non-student tickets cost $3 each. Find the number of student tickets and the number of non-student tickets the gym sold.
Setting up the equations:
Solution:
Example 3: A library is having a book sale to raise money. Hardcover books cost $4 each and paperback books cost $2 each. Ms. Rivas spends $26 for 8 books.
How many hardcover books did she purchase?
Correct Solution:
Example 4: The school that David goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1
child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Find the price of a senior citizen
ticket and the price of a child ticket.
Solution:
Example 5: The Los Angles Zoo is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both
planned trips there. The senior class at High School A rented and filled 8 vans and 8 buses with 240 students. High School B rented and filled 4 vans and 1 bus
with 54 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus.