This topic focuses on developing algebraic skills involving equations derived from word problems centered around coin values and quantities. Learners are tasked with formulating equations based on relationships between different types of coins (e.g., pennies, nickels, dimes, quarters) and their total values. Each problem specifies a relationship such as one coin type being in excess by a specific count compared to another, and from this information, appropriate equations must be derived to represent the situation mathematically. These exercises serve as an introduction to basic algebraic concepts using practical and familiar contexts.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Algebra with Coins - X More of Coin and Total - Two Coin Types - to Equations Worksheet

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Algebra with Coins - X More of Coin and Total - Two Coin Types - to Equations
1
An svg image showing a math problem
Some coins have a total value of $0.09. There are 3 more Pennies than Nickels. What equations would help us solve?
a A LaTex expression showing \begin{align*}n &= p + 3\\5n + 1p &= 9\end{align*}
b A LaTex expression showing \begin{align*}p &= n + 3\\1p + 5n &= 9\end{align*}
2
An svg image showing a math problem
Some coins have a total value of $0.25. There are 1 more Dimes than Nickels. What equations would help us solve?
a A LaTex expression showing \begin{align*}n &= d + 1\\5n + 10d &= 25\end{align*}
b A LaTex expression showing \begin{align*}d &= n + 1\\10d + 5n &= 25\end{align*}
3
An svg image showing a math problem
Some coins have a total value of $0.70. There are 2 more Nickels than Quarters. What equations would help us solve?
a A LaTex expression showing \begin{align*}q &= n + 2\\25q + 5n &= 70\end{align*}
b A LaTex expression showing \begin{align*}n &= q + 2\\5n + 25q &= 70\end{align*}
4
An svg image showing a math problem
Some coins have a total value of $0.20. There are 1 more Nickels than Dimes. What equations would help us solve?
a A LaTex expression showing \begin{align*}d &= n + 1\\10d + 5n &= 20\end{align*}
b A LaTex expression showing \begin{align*}n &= d + 1\\5n + 10d &= 20\end{align*}
5
An svg image showing a math problem
Some coins have a total value of $0.16. There are 4 more Pennies than Nickels. What equations would help us solve?
a A LaTex expression showing \begin{align*}n &= p + 4\\5n + 1p &= 16\end{align*}
b A LaTex expression showing \begin{align*}p &= n + 4\\1p + 5n &= 16\end{align*}
6
An svg image showing a math problem
Some coins have a total value of $0.30. There are 4 more Pennies than Quarters. What equations would help us solve?
a A LaTex expression showing \begin{align*}q &= p + 4\\25q + 1p &= 30\end{align*}
b A LaTex expression showing \begin{align*}p &= q + 4\\1p + 25q &= 30\end{align*}
7
An svg image showing a math problem
Some coins have a total value of $0.23. There are 1 more Pennies than Dimes. What equations would help us solve?
a A LaTex expression showing \begin{align*}p &= d + 1\\1p + 10d &= 23\end{align*}
b A LaTex expression showing \begin{align*}d &= p + 1\\10d + 1p &= 23\end{align*}
8
An svg image showing a math problem
Some coins have a total value of $0.25. There are 2 more Nickels than Dimes. What equations would help us solve?
a A LaTex expression showing \begin{align*}d &= n + 2\\10d + 5n &= 25\end{align*}
b A LaTex expression showing \begin{align*}n &= d + 2\\5n + 10d &= 25\end{align*}