Math Problem Statement
solve
Solution
Let’s analyze and solve the mathematical problems in the image step by step.
Question 9
Task: Using the digits 5, 8, and 9, find all distinct numbers that are divisible by 5. Calculate the sum of the quotients when these numbers are divided by 5.
Solution:
- Numbers that can be formed using 5, 8, and 9:
- We can form 3-digit numbers where the last digit must be 5 (to ensure divisibility by 5). The possible numbers are:
- 895
- 985
- We can form 3-digit numbers where the last digit must be 5 (to ensure divisibility by 5). The possible numbers are:
- Dividing these numbers by 5:
- Sum of the quotients:
Answer: 376
Question 10
Task: Find the number such that when multiplied by 6, the result is equal to the sum of 276 and 456.
Solution:
- Sum of 276 and 456:
- Solve for in the equation:
Answer: 122
Question 11
Task: There is 210 kg of cabbage from one field and 3 times that amount from another field. These cabbages are distributed equally into 8 baskets. How many kilograms of cabbage are in each basket?
Solution:
- Cabbage from the first field:
- Cabbage from the second field:
- Total cabbage:
- Distribute equally into 8 baskets:
Answer: 105 kg
Final Summary:
- 9: 376
- 10: 122
- 11: 105 kg
Would you like detailed explanations or clarification for any step?
Related Questions:
- How many unique numbers can you form using three digits (5, 8, 9) if repetition is not allowed?
- What is the least common multiple (LCM) of 276 and 456?
- What is the total weight of the cabbage if the fields are combined, and how can it be distributed if there are 10 baskets instead of 8?
- What is the result if you divide the sum of 276 and 456 by a number other than 6?
- How can you systematically list all permutations of a set of three digits?
Tip: When solving for quotients or remainders, double-check divisibility rules to ensure accuracy!
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Math Problem Analysis
Mathematical Concepts
Divisibility
Arithmetic Operations
Multiplication
Division
Sum of Numbers
Formulas
Divisibility rule for 5
Sum of numbers formula: Total = A + B
Division formula: Quotient = Dividend / Divisor
Multiplication formula: Product = Multiplier × Multiplicand
Theorems
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Suitable Grade Level
Grades 6-8
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