Math Problem Statement
Solution
Here are the questions extracted from the image along with their solutions:
1. Divya has 100 rupees. She spent of it. How much did she spend?
To calculate the amount spent:
Answer: Divya spent 60 rupees.
2. A storybook has 40 pages. Ruby read of it. How many pages did she read?
To calculate the pages Ruby read:
Answer: Ruby read 30 pages.
3. Jatin walks km in a day. How many kilometers does he walk in a week?
First, convert the mixed fraction to an improper fraction:
Distance walked in a week:
Answer: Jatin walks 24.5 km in a week.
4. A packet had kg of washing powder. Half of the washing powder was used. How much washing powder was left?
First, convert the mixed fraction to an improper fraction:
Amount of washing powder used:
Amount left:
Answer: kg of washing powder was left.
Let me know if you'd like detailed steps for any of these! Below are some related questions to expand your understanding:
- If Divya spent instead of , how much would she have left?
- If Ruby read of a 90-page storybook, how many pages would she have read?
- If Jatin increased his daily walk by km, how many kilometers would he walk in a week?
- If only of the washing powder was used, how much would remain?
- Can you calculate Ruby's reading pace if she reads 5 pages in 10 minutes?
Tip: When solving problems with fractions, always simplify the final result for clarity.
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Math Problem Analysis
Mathematical Concepts
Fractions
Mixed Numbers
Basic Arithmetic Operations
Proportion
Formulas
Fraction multiplication: (a/b) * n
Mixed number conversion: a b/c = (a * c + b) / c
Subtraction of fractions: a/b - c/d = (ad - bc) / bd
Theorems
Fundamental properties of fractions
Distributive property
Suitable Grade Level
Grade 5-6
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