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Algebra with Coins - X Fraction as Many of Coin and Total - Two Coin Types - to Equations

Level 1

This topic focuses on algebraic problem solving involving coins. It involves forming and solving equations based on scenarios with different types of coins (Pennies, Nickels, Dimes, Quarters) and their relationships in terms of quantity. The problems typically state a total value and a ratio describing how many of one type of coin there are compared to another. The goal is to determine the correct equations that represent each situation, helping students understand how to translate word problems into algebraic expressions.

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

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Algebra with Coins - X Fraction as Many of Coin and Total - Two Coin Types - to Equations Worksheet

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Algebra with Coins - X Fraction as Many 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 1/4 as many Nickels as Pennies. What equations would help us solve?
a A LaTex expression showing \begin{align*}p &= n over 4 \\5n + 1p &= 9\end{align*}
b A LaTex expression showing \begin{align*}n &= p over 4 \\1p + 5n &= 9\end{align*}
2
An svg image showing a math problem
Some coins have a total value of $0.42. There are 1/4 as many Dimes as Pennies. What equations would help us solve?
a A LaTex expression showing \begin{align*}p &= d over 4 \\10d + 1p &= 42\end{align*}
b A LaTex expression showing \begin{align*}d &= p over 4 \\1p + 10d &= 42\end{align*}
3
An svg image showing a math problem
Some coins have a total value of $0.60. There are 1/2 as many Dimes as Nickels. What equations would help us solve?
a A LaTex expression showing \begin{align*}n &= d over 2 \\10d + 5n &= 60\end{align*}
b A LaTex expression showing \begin{align*}d &= n over 2 \\5n + 10d &= 60\end{align*}
4
An svg image showing a math problem
Some coins have a total value of $0.40. There are 1/2 as many Dimes as Nickels. What equations would help us solve?
a A LaTex expression showing \begin{align*}d &= n over 2 \\5n + 10d &= 40\end{align*}
b A LaTex expression showing \begin{align*}n &= d over 2 \\10d + 5n &= 40\end{align*}
5
An svg image showing a math problem
Some coins have a total value of $0.35. There are 1/2 as many Quarters as Nickels. What equations would help us solve?
a A LaTex expression showing \begin{align*}q &= n over 2 \\5n + 25q &= 35\end{align*}
b A LaTex expression showing \begin{align*}n &= q over 2 \\25q + 5n &= 35\end{align*}
6
An svg image showing a math problem
Some coins have a total value of $0.42. There are 1/4 as many Dimes as Pennies. What equations would help us solve?
a A LaTex expression showing \begin{align*}d &= p over 4 \\1p + 10d &= 42\end{align*}
b A LaTex expression showing \begin{align*}p &= d over 4 \\10d + 1p &= 42\end{align*}
7
An svg image showing a math problem
Some coins have a total value of $0.18. There are 1/4 as many Nickels as Pennies. What equations would help us solve?
a A LaTex expression showing \begin{align*}p &= n over 4 \\5n + 1p &= 18\end{align*}
b A LaTex expression showing \begin{align*}n &= p over 4 \\1p + 5n &= 18\end{align*}
8
An svg image showing a math problem
Some coins have a total value of $0.18. There are 1/4 as many Nickels as Pennies. What equations would help us solve?
a A LaTex expression showing \begin{align*}n &= p over 4 \\1p + 5n &= 18\end{align*}
b A LaTex expression showing \begin{align*}p &= n over 4 \\5n + 1p &= 18\end{align*}