5 systems wordproblems ADVANCED 2015­16.notebook March 20, 2017

Warm UpSolve the following systems using any method: 1)  3x ­ y = 4      x + 4y = 10

2) y = ­2x + 4    y = x + 1

3) x + y = 16    5x ­ 4y = 8

1.) Find the value of 2 numbers if their sum is 12 and their difference is 4.

Problem Solving with Systems

2.) The difference of 2 numbers is 3. Their sum is 13.

3.) The school Stefan goes to is selling tickets to a choral performance. One the first day of ticket sales, the school sold 3 senior citizen tickets adn 1 child ticket for $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Find the price for each type of ticket.

4.) Last month, Darren spent $57 on 4 allergy shots and 1 office visit. This month he spent $9 after 1 office visit and a refund for 2 allergy shots from his insurance company. How much does an office visit cost? How much is an allergy shot?

5 systems wordproblems ADVANCED 2015­16.notebook March 20, 2017

5.) Jarrel bought 2 notebooks and returned 3 binders. His sister Janeisha bought 3 notebooks and 3 binders. Jarrel's bill was $5. Janeisha's bill was $45. What are the prices of a notebook and a binder?

6.) Mr. Smith bought a package of 3 chicken legs and 7 chicken wings. Mrs. Davis bought a package of 3 chicken legs and 6 chicken wings. Mr. Smith bought 45 ounces of chicken. Mrs. Davis bought 42 ounces of chicken. What is the weight of a chicken leg? What is the weight of a chicken wing?

7.) The state fair is a popular field trip destination. This year the senior class at Kennesaw Mtn. and the senior class at Allatoona both planned trips there. The senior class at KMHS rented and filled 8 vans and 8 busses with 240 students.AHS rented and filled 4 vans and 1 bus with 54 students. Every van had the same number of students and every bus had the same number of students. Find the number of students in each van(x) and each bus(y).

8.) The senior class at Harrison and the senior class at Walton both planned trips to NYC. The senior class at Harrison rented and filled 1 van and 6 busses with 372 students.Walton rented and filled 4 vans and 12 busses with 780 students. Every van had the same number of students and every bus had the same number of students. Find the number of students in each van(x) and each bus(y).

Now you try...

5 systems wordproblems ADVANCED 2015­16.notebook March 20, 2017

9.) Brenda's school is selling tickets to a musical.

On the first day of ticket sales, they sold 3 senior tickets and 9 child tickets for a total of $75.

The school took in $67 on the second day of ticket sales. They sold 8 senior tickets and 5 child tickets.

What is the price for each type of ticket?

10.) Matt and Ming are selling fruit for a school fundraiser.

Customers can buy large and small boxes of oranges.

Matt sold 3 small boxes of oranges and 14 large boxes of oranges for a total of $203.

Ming sold 11 small boxes and 11 large boxes for a total of $220.

Find the cost of a small box of oranges.

Find the cost of a large box of oranges.

Coin Problems...11.) Bella has a total of 15 coins (dimes(x) and quarters(y) only) in her wallet. The value of these coins is $2.70. Write a system of equations to determine how many of each coin she has.

12.) Murphy has 543 dimes and nickels in his piggy bank. The total value of the coins is $45.25. How many of each coin does he have in his piggy bank?

Problem Solving with SystemsChris sold 180 cookies and cupcakes over the weekend at a bake sale. The cupcakes sold for $0.50 each adn the cookies sold for $0.25 each. If Chris collected $66 how many of each did Chris sell?

5 systems wordproblems ADVANCED 2015­16.notebook March 20, 2017

Problem Solving with SystemsBrady and Reese both owe thier mother money. Brady owes his mother $300 and plans to pay her $25 ever week. Reese owes his mother $550 and plans to pay her $75 ever week. After how many weeks will they both owe their mother the same amount of money?

What amount will that be?