1. Unit 4. Day 16.

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

3. 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=

4. 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

5. 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

6. 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

7. 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

8. 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

9. 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