Unit 4. Day 16.

Word Problems: 1) Model with an equation 2) Solve

Two minutes to find the answer Example A: For his birthday, Nasir and three of his friends went to a movie at the BX. They each got a ticket for $8.00 and the same snack from the concession stand. If Nasir’s mom paid $48 for the group’s tickets and snacks, how much did each snack cost? Two minutes to find the answer − 13 3 𝑥=

Example A: For his birthday, Nasir and three of his friends went to a movie at the BX. They each got a ticket for $8.00 and the same snack from the concession stand. If Nasir’s mom paid $48 for the group’s tickets and snacks, how much did each snack cost? 4 = 48 𝑠 𝑠 𝑠 𝑠 8 8 8 8 𝑠+8 𝑠+8 𝑠+8 𝑠+8 𝑠+8 𝑠+8 𝑠+8 𝑠+8

Example A: For his birthday, Nasir and three of his friends went to a movie at the BX. They each got a ticket for $8.00 and the same snack from the concession stand. If Nasir’s mom paid $48 for the group’s tickets and snacks, how much did each snack cost? 𝑠+8 𝑠+8 𝑠+8 𝑠+8 𝑠+8 𝑠+8 𝑠+8 𝑠+8 “Tape Diagram” 48 4 = 48 𝑠 𝑠 𝑠 𝑠 𝑠 𝑠 𝑠 𝑠 8 8 8 8 8 8 8 8 48 4 + 4 = 48

4 𝑠+8 =48 =48 4𝑠 + 32 Each snack cost $4 4𝑠 = 16 4 4 𝑠 = 4 −32 −32 Example A: For his birthday, Nasir and three of his friends went to a movie at the BX. They each got a ticket for $8.00 and the same snack from the concession stand. If Nasir’s mom paid $48 for the group’s tickets and snacks, how much did each snack cost? 4 𝑠+8 =48 =48 4𝑠 + 32 −32 −32 Each snack cost $4 4𝑠 = 16 4 4 𝑠 = 4

Aaron was babysat for 5 hours Example B: The cost of a babysitting service on a cruise is $10 for the first hour and $12 for each additional hour. If the total cost of babysitting baby Aaron was $58, how many hours was Aaron at the sitter? + ∙ ℎ = 58 10+12ℎ=58 −10 −10 = 12ℎ 48 58 12 12 10 10 12 12 12 12 12 12 12 12 ℎ = 4 Aaron was babysat for 5 hours Hour 1 Hour 2 Hour 3 Hour 4 Hour 5

Each afternoon he must work 5 hours Example C: Eric’s father works two part-time jobs, one in the morning and one in the afternoon. He needs to work 40 hours each 5-day workweek to pay his bills. If his schedule is the same each day (M-F), and he works 3 hours each morning, how many hours does he need to work in the afternoon? 5 = 40 Each afternoon he must work 5 hours 15 + 5𝑎 = 40 −15 −15 5𝑎 = 25 40 5 5 3+𝑎 3 + 𝑎 3+𝑎 3+𝑎 3+𝑎 3+𝑎 3+𝑎 3+𝑎 3+𝑎 3+𝑎 𝑎 = 5 Day 1 Day 2 Day 3 Day 4 Day 5

Example D: Write an equation and solve. The perimeter of a rectangle is 54 cm. Its length is 16 cm. What is its width? 𝑙 11 cm 𝑤 𝑤 𝑙 𝑃=𝑤+𝑤+𝑙+𝑙 𝑃=2 𝑤+𝑙 54= 54 𝑃 = 𝑤+𝑤+ + 16 𝑙 16 𝑙 54=2 𝑤+16 54= 2𝑤 + 32 2𝑤 + 32 −32 −32 −32 −32 22 = 2𝑤 22 = 2𝑤 2 2 2 2 11 = 𝑤 11 = 𝑤