A piggy bank was filled with only quarters ($0.25) and nickels ($0.05). If there was exactly 51 coins in the piggy bank, and there was a total of $5.35 inside, how many nickels were there? (Provide let statements and show all work. Solve using only ONE variable, and ONE equation!)

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Q: How many non-negative solutions are there to this equation: ?1 + ?2 + ?3 + ?4 + ?5 = 26?

A: Image is attached with detailed solution.

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.