Math Problem Statement

A coin bank contains only nickels and dimes. The total value of the coins in the bank is $2.65. If the nickels were dimes and the dimes were nickels, the total value of the coins would be $3.50. Find the number of nickels in the bank.  nickels

Solution

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Systems of Equations

Formulas

Total value equation for nickels and dimes: 0.05x + 0.10y = 2.65
Total value equation with swapped coins: 0.10x + 0.05y = 3.50

Theorems

Solving systems of linear equations using substitution or elimination

Suitable Grade Level

Grades 8-10