This math topic focuses on using algebra to solve problems involving coins, specifically creating equations based on relationships between different types and numbers of coins. The problems involve finding the total value of coins given constraints on the numbers of nickels, dimes, pennies, and quarters, using algebraic equations to represent these relationships and sums. It builds foundational skills in forming and solving linear equations from real-world scenarios.

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

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Algebra with Coins - X More of Coin and Total - Three Coin Types - to Equations
1
An svg image showing a math problem
Some coins have a total value of $0.48. There are 1 more Dimes than Pennies and 2 more Pennies than Nickels. What equations would help us solve?
a A LaTex expression showing \begin{align*}d &= p + 1\\p &= n + 2\\10d + 1p + 5n &= 48\end{align*}
b A LaTex expression showing \begin{align*}p &= d + 1\\d &= n + 2\\1p + 10d + 5n &= 48\end{align*}
2
An svg image showing a math problem
Some coins have a total value of $0.43. There are 1 more Nickels than Pennies and 1 more Pennies than Dimes. What equations would help us solve?
a A LaTex expression showing \begin{align*}p &= n + 1\\n &= d + 1\\1p + 5n + 10d &= 43\end{align*}
b A LaTex expression showing \begin{align*}n &= p + 1\\p &= d + 1\\5n + 1p + 10d &= 43\end{align*}
3
An svg image showing a math problem
Some coins have a total value of $0.44. There are 1 more Pennies than Nickels and 2 more Nickels than Quarters. What equations would help us solve?
a A LaTex expression showing \begin{align*}q &= n + 1\\n &= p + 2\\25q + 5n + 1p &= 44\end{align*}
b A LaTex expression showing \begin{align*}p &= n + 1\\n &= q + 2\\1p + 5n + 25q &= 44\end{align*}
4
An svg image showing a math problem
Some coins have a total value of $1.05. There are 1 more Dimes than Nickels and 1 more Nickels than Quarters. What equations would help us solve?
a A LaTex expression showing \begin{align*}n &= d + 1\\d &= q + 1\\5n + 10d + 25q &= 105\end{align*}
b A LaTex expression showing \begin{align*}d &= n + 1\\n &= q + 1\\10d + 5n + 25q &= 105\end{align*}
5
An svg image showing a math problem
Some coins have a total value of $0.44. There are 1 more Pennies than Dimes and 1 more Dimes than Nickels. What equations would help us solve?
a A LaTex expression showing \begin{align*}d &= p + 1\\p &= n + 1\\10d + 1p + 5n &= 44\end{align*}
b A LaTex expression showing \begin{align*}p &= d + 1\\d &= n + 1\\1p + 10d + 5n &= 44\end{align*}
6
An svg image showing a math problem
Some coins have a total value of $0.44. There are 1 more Pennies than Nickels and 2 more Nickels than Quarters. What equations would help us solve?
a A LaTex expression showing \begin{align*}p &= n + 1\\n &= q + 2\\1p + 5n + 25q &= 44\end{align*}
b A LaTex expression showing \begin{align*}p &= q + 1\\q &= n + 2\\1p + 25q + 5n &= 44\end{align*}
7
An svg image showing a math problem
Some coins have a total value of $0.29. There are 1 more Pennies than Nickels and 2 more Nickels than Dimes. What equations would help us solve?
a A LaTex expression showing \begin{align*}p &= d + 1\\d &= n + 2\\1p + 10d + 5n &= 29\end{align*}
b A LaTex expression showing \begin{align*}p &= n + 1\\n &= d + 2\\1p + 5n + 10d &= 29\end{align*}
8
An svg image showing a math problem
Some coins have a total value of $0.75. There are 1 more Nickels than Dimes and 2 more Dimes than Quarters. What equations would help us solve?
a A LaTex expression showing \begin{align*}q &= d + 1\\d &= n + 2\\25q + 10d + 5n &= 75\end{align*}
b A LaTex expression showing \begin{align*}n &= d + 1\\d &= q + 2\\5n + 10d + 25q &= 75\end{align*}