Math Problem Statement
Solution
Let's solve each question one by one:
Question 8
A wooden plank is 3 meters long. The plank is cut into 8 equal pieces. What is the length of each piece?
To find the length of each piece, divide the total length by the number of pieces: Answer: C) 0.375
Question 9
If a recipe calls for 2 cups of flour to make 12 cookies, how many cups of flour would you need to make 30 cookies?
We can set up a proportion to solve this: Cross-multiply to solve for : Answer: 5 cups of flour
Question 10
What is the median value of the following values: $808, $1258, $658, $1258, $900, $1358, $960, and $852?
To find the median, we first arrange the values in ascending order: Since there are 8 values (an even number), the median will be the average of the 4th and 5th values: Answer: $930
Would you like a more detailed explanation for any of these answers, or do you have additional questions?
Here are some follow-up questions based on these problems:
- How would you find the length of each piece if the plank were divided into 12 pieces instead?
- If you wanted to make 24 cookies, how much flour would you need?
- How would you calculate the mean (average) value of the amounts given in Question 10?
- What would the median be if there were an additional value of $700 added to the list in Question 10?
- Can you find the mode of the amounts listed in Question 10?
Tip: For median calculations, always ensure the values are sorted in ascending order first!
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Math Problem Analysis
Mathematical Concepts
Division
Ratios and Proportions
Statistics
Formulas
Division formula: Total ÷ Number of parts
Proportion: (a/b) = (c/d)
Median calculation for ordered data
Theorems
Proportion theorem
Median calculation rule for even set of numbers
Suitable Grade Level
Grades 6-8
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