Math Problem Statement
A purse contains ₹250 in notes of denominations ₹10 and ₹50. If the number of ₹10 notes is one more than that of ₹50 notes, find the number of notes of each denomination.
Solution
The problem you shared from the image is as follows:
Problem:
A purse contains ₹250 in notes of denominations ₹10 and ₹50. If the number of ₹10 notes is one more than that of ₹50 notes, find the number of notes of each denomination.
Solution:
Let the number of ₹50 notes be x.
- The number of ₹10 notes is x + 1 (as given in the problem).
Now, let's form an equation based on the total amount:
- The value of ₹50 notes =
- The value of ₹10 notes =
According to the problem, the total value of these notes is ₹250. Therefore, the equation becomes:
Now, solve this equation:
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Expand the equation:
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Combine like terms:
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Subtract 10 from both sides:
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Divide by 60:
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Algebra
Formulas
Total amount equation: 50x + 10(x + 1) = 250
Theorems
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Suitable Grade Level
Grade 8-10