Mod 1 day 41 day 1(elim word).notebook
Do Now:
Solve and check:
7x + 2y = 5
2x + 3y = 16
Solving Systems
of Equations
Word Problems
Day 1
November 17, 2014
Mod 1 day 41 day 1(elim word).notebook
November 17, 2014
5 Basic Word Problem Steps
1) Let statements (Use two different
variables with systems)
2) Write equations
3) Solve the system of equations
4) Check the solutions
5) Answer question asked as statement
1) The owner of a men’s clothing store bought 6 belts and 8 hats for $140. A week later, at the same prices, he bought 9 belts and 6 hats for $132. Find the price of a belt and the price of a hat.
Mod 1 day 41 day 1(elim word).notebook
November 17, 2014
2) On one day, 4 gardeners and 4 helpers earned $360. On another day, working the same number of hours and at the same rate of pay, 5 gardeners and 6 helpers earned $480. How much does a gardener and how much does a helper earn each day?
3) Alexandra purchases two doughnuts and three cookies at a doughnut shop and is charged $3.30. Briana purchases five doughnuts and two cookies at the same shop for $4.95. All the doughnuts have the same price and all the cookies have the same price. Find the cost of one doughnut and find the cost of one cookie.
Mod 1 day 41 day 1(elim word).notebook
November 17, 2014
4) Tanisha and Rachel had lunch at the mall. Tanisha ordered three slices of pizza and two colas. Rachel ordered two slices of pizza and three colas. Tanisha’s
bill was $6.00, and Rachel’s bill was $5.25. What was the price of one slice of pizza? What was the price of one cola?
5) At a quick lunch counter, 3 pretzels and 1 cup of soda cost $2.75. Two pretzels and 1 cup of soda cost $2.00. Find the cost of a pretzel and the cost of a cup of soda.
Mod 1 day 41 day 1(elim word).notebook
November 17, 2014
6) A baseball manager bought 4 bats and 9 balls for $76.50. On another day, she bought 3 bats and 1 dozen balls at the same prices and paid $81.00. How much did she pay for each bat and each ball?
The Blackwells and Joneses are going to Hershey's Really Big 3D show in Pennsylvania. Find the adult price and the children's price of the show.
Family
# of Adults
# of Children Total Cost
Blackwell
2
5
$31.65
Jones
2
3
$23.75
4) The sum of the digits of a two­digit number is 8. The result of subtracting the units digit from the tens digit is ­4. Define the variables and write the system of equations that you would use to find the number. Then solve the system and find the number.