Since the user options for ExplainAnswer, TeachTopic, and GeneratePractice are all false, I will proceed directly to providing the final answers for the problems presented in the image.
Here are the step-by-step solutions to complete the frequency trees:
Section A
Problem 1)
*
Top Branch (Under 35): Total is 83. Snowboard is 27.
* Ski = $83 - 27 = 56$.
*
Bottom Branch (35 and over): Total is $152 - 83 = 69$.
* Ski is given as 55.
* Snowboard = $69 - 55 = 14$.
Problem 2)
*
Top Branch (KS3): Total is 420.
* Walk is 100.
* Bike is 180.
* Bus = $420 - 100 - 180 = 140$.
*
Bottom Branch (KS4): Total is $690 - 420 = 270$.
* Bus is 135.
* Bike is 90.
* Walk = $270 - 135 - 90 = 45$.
Section B
Problem 1)
*
Total Students: 300.
*
Grade 8: Total is 130.
* Theme Park is 35.
* Waterpark = $130 - 35 = 95$.
*
Grade 7: Total = $300 - 130 = 170$.
* Total Waterpark is 176. Since Grade 8 Waterpark is 95, Grade 7 Waterpark = $176 - 95 = 81$.
* Theme Park = $170 - 81 = 89$.
Problem 2)
*
Total People: 420.
*
Adults: Total is 165.
* Children = $420 - 165 = 255$.
*
Children Breakdown:
* Comedy is 101.
* Romance is 62.
* Action = $255 - 101 - 62 = 92$.
*
Adults Breakdown:
* Total Romance is 173. Since Children Romance is 62, Adults Romance = $173 - 62 = 111$.
* Remaining Adults = $165 - 111 = 54$.
* The problem states the same number of adults watched Comedy as Action. So, divide the remaining 54 by 2.
* Adults Comedy = 27.
* Adults Action = 27.
Final Answer:
Section A
1) Top Branch: Ski =
56; Bottom Branch Total =
69, Snowboard =
14
2) Top Branch: Bus =
140; Bottom Branch Total =
270, Walk =
45
Section B
1)
* Year 7: Total
170, Theme Park
89, Waterpark
81
* Year 8: Total
130, Theme Park
35, Waterpark
95
2)
* Adults: Total
165, Comedy
27, Romance
111, Action
27
* Children: Total
255, Comedy
101, Romance
62, Action
92
Parent Tip: Review the logic above to help your child master the concept of probability trees worksheet.
