Math Problem Statement
Solution
Let's solve each question step-by-step.
-
Olive Oil Cost at the Supermarket:
- Grocery store price for a bottle: 7 euros.
- Supermarket price: 7 euros + 2 euros = 9 euros per bottle.
- Total cost for 7 bottles: euros.
-
Cost of Pen and Pencil:
- Let the cost of the pencil be .
- Then, the cost of the pen is .
- The total cost is .
- Solving :
- Pencil costs euros, and the pen costs euros.
-
Sum of Whole Numbers from 1 to 200:
- Use the formula for the sum of an arithmetic series: where , , and .
- .
-
Area of a Rectangular Garden:
- Length m, Width m.
- Area square meters.
-
Games Played by Joe:
- Let the number of games Joe played be .
- Kyra played , and together they played 12 games.
- Equation: .
- Solving :
- Joe played 4 games.
-
Original Price of the Shirt:
- Sale price is , which is half of the original price.
- Original price dollars.
-
Age of Aunt Amber:
- Clues:
- Age is between 19 and 30.
- Age is a multiple of 3.
- Age is an even number.
- Possible even multiples of 3 between 19 and 30 are 24 and 30.
- Age of Aunt Amber is 24.
- Clues:
-
Miles Equivalent for 11.27 Kilometers:
- Given that 8 km = 4.83 miles, we find the conversion factor:
- For 11.27 km:
Would you like any further explanations or have any questions?
Here are some related questions:
- How would the total cost change in Question 1 if each bottle of olive oil increased by 3 euros instead of 2?
- What would be the cost of 3 pens and 2 pencils based on Question 2?
- Can you find the sum of all even numbers from 1 to 200?
- If Kyra and Joe played different sports and one required twice as much energy, how would you analyze their energy expenditure?
- How would you calculate the area of a triangular garden with a base of 12 m and height of 5 m?
Tip: For sums of sequences, try using the formula for arithmetic series, as it’s quick and efficient!
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Arithmetic operations
Algebraic equations
Geometry (area calculation)
Number theory (summing whole numbers)
Unit conversion
Formulas
Sum of an arithmetic series: S = (n/2) * (a + l)
Area of a rectangle: Area = length * width
Conversion between miles and kilometers
Theorems
-
Suitable Grade Level
Grades 6-8
Related Recommendation
Math Problem Solving: Algebra, Graphs, and Geometry Challenges
Solve Algebraic Equations, Geometry Problems, and Word Problems - Grades 7-10
Math Exercises: Simplification, Equations, and Geometry Problems
Math Exercises 11 to 20: Algebra, Geometry, and Statistics
Math Worksheet: Geometry, Measurement, Probability, and Problem Solving