Math Problem Statement

A coin bank contains only nickels and dimes. The total value of the coins in the bank is $2.75. If the nickels were dimes and the dimes were nickels, the total value of the coins would be $3.55. Find the number of nickels in the bank.  nickels

Solution

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Math Problem Analysis

Mathematical Concepts

Algebra
Systems of Equations
Word Problems

Formulas

5n + 10d = 275 (Total value in original configuration)
10n + 5d = 355 (Total value if nickels and dimes were swapped)

Theorems

Substitution method for solving systems of linear equations

Suitable Grade Level

Grades 8-10