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

Level 1

This math topic focuses on creating algebraic equations from word problems involving various types and quantities of coins. It teaches how to relate the number of different coins (pennies, nickels, dimes, and quarters) and their combined value by setting up relationships and translating them into mathematical expressions. The problems require understanding relationships like "1 more than" or specific differences between the quantities of coins and involve translating real-life scenarios into algebraic equations to find the total monetary value.

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 - Four Coin Types - to Equations Worksheet

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Algebra with Coins - X More of Coin and Total - Four Coin Types - to Equations
1
An svg image showing a math problem
Some coins have a total value of $1.05. There are 1 more Pennies than Nickels, 1 more Nickels than Dimes, and 1 more Dimes than Quarters. What equations would help us solve?
a A LaTex expression showing \begin{align*}n &= p + 1\\p &= d + 1\\d &= q + 1\\5n + 1p + 10d + 25q &= 105\end{align*}
b A LaTex expression showing \begin{align*}p &= n + 1\\n &= d + 1\\d &= q + 1\\1p + 5n + 10d + 25q &= 105\end{align*}
2
An svg image showing a math problem
Some coins have a total value of $1.06. There are 1 more Dimes than Nickels, 1 more Nickels than Quarters, and 1 more Quarters than Pennies. What equations would help us solve?
a A LaTex expression showing \begin{align*}d &= n + 1\\n &= q + 1\\q &= p + 1\\10d + 5n + 25q + 1p &= 106\end{align*}
b A LaTex expression showing \begin{align*}n &= d + 1\\d &= q + 1\\q &= p + 1\\5n + 10d + 25q + 1p &= 106\end{align*}
3
An svg image showing a math problem
Some coins have a total value of $0.90. There are 2 more Pennies than Dimes, 1 more Dimes than Quarters, and 1 more Quarters than Nickels. What equations would help us solve?
a A LaTex expression showing \begin{align*}p &= d + 2\\d &= q + 1\\q &= n + 1\\1p + 10d + 25q + 5n &= 90\end{align*}
b A LaTex expression showing \begin{align*}p &= q + 2\\q &= d + 1\\d &= n + 1\\1p + 25q + 10d + 5n &= 90\end{align*}
4
An svg image showing a math problem
Some coins have a total value of $0.82. There are 3 more Pennies than Nickels, 1 more Nickels than Dimes, and 2 more Dimes than Quarters. What equations would help us solve?
a A LaTex expression showing \begin{align*}p &= q + 3\\q &= d + 1\\d &= n + 2\\1p + 25q + 10d + 5n &= 82\end{align*}
b A LaTex expression showing \begin{align*}p &= n + 3\\n &= d + 1\\d &= q + 2\\1p + 5n + 10d + 25q &= 82\end{align*}
5
An svg image showing a math problem
Some coins have a total value of $0.90. There are 2 more Pennies than Dimes, 1 more Dimes than Quarters, and 1 more Quarters than Nickels. What equations would help us solve?
a A LaTex expression showing \begin{align*}n &= d + 2\\d &= q + 1\\q &= p + 1\\5n + 10d + 25q + 1p &= 90\end{align*}
b A LaTex expression showing \begin{align*}p &= d + 2\\d &= q + 1\\q &= n + 1\\1p + 10d + 25q + 5n &= 90\end{align*}
6
An svg image showing a math problem
Some coins have a total value of $0.72. There are 3 more Pennies than Nickels, 2 more Nickels than Dimes, and 1 more Dimes than Quarters. What equations would help us solve?
a A LaTex expression showing \begin{align*}q &= n + 3\\n &= d + 2\\d &= p + 1\\25q + 5n + 10d + 1p &= 72\end{align*}
b A LaTex expression showing \begin{align*}p &= n + 3\\n &= d + 2\\d &= q + 1\\1p + 5n + 10d + 25q &= 72\end{align*}