This math topic focuses on forming and solving algebraic equations using scenarios involving different types of coins. Each problem presents a total value of money and specifies two types of coins present in equal count, such as nickels and quarters or pennies and dimes. Learners are expected to formulate equations that represent these scenarios, facilitating the use of basic algebraic concepts to solve real-world problems. The equations primarily involve expressing the total value given the quantity and denomination of each coin type. This process reinforces algebraic thinking and equation solving skills.

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Algebra with Coins - Same Count of Two with Two Coin Types - to Equations Worksheet

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Algebra with Coins - Same Count of Two with Two Coin Types - to Equations
1
An svg image showing a math problem
Some coins have a total value of $0.60 There are the same number of Nickels and Quarters, and only those coins. What equations would help us solve?
a A LaTex expression showing \begin{align*}n &= q\\5n + 25q &= 60\end{align*}
b A LaTex expression showing \begin{align*}q &= n\\25q + 5n &= 60\end{align*}
2
An svg image showing a math problem
Some coins have a total value of $1.20 There are the same number of Nickels and Quarters, and only those coins. What equations would help us solve?
a A LaTex expression showing \begin{align*}q &= n\\25q + 5n &= 120\end{align*}
b A LaTex expression showing \begin{align*}n &= q\\5n + 25q &= 120\end{align*}
3
An svg image showing a math problem
Some coins have a total value of $0.26 There are the same number of Pennies and Quarters, and only those coins. What equations would help us solve?
a A LaTex expression showing \begin{align*}p &= q\\1p + 25q &= 26\end{align*}
b A LaTex expression showing \begin{align*}q &= p\\25q + 1p &= 26\end{align*}
4
An svg image showing a math problem
Some coins have a total value of $0.12 There are the same number of Pennies and Nickels, and only those coins. What equations would help us solve?
a A LaTex expression showing \begin{align*}p &= n\\1p + 5n &= 12\end{align*}
b A LaTex expression showing \begin{align*}n &= p\\5n + 1p &= 12\end{align*}
5
An svg image showing a math problem
Some coins have a total value of $0.11 There are the same number of Pennies and Dimes, and only those coins. What equations would help us solve?
a A LaTex expression showing \begin{align*}d &= p\\10d + 1p &= 11\end{align*}
b A LaTex expression showing \begin{align*}p &= d\\1p + 10d &= 11\end{align*}
6
An svg image showing a math problem
Some coins have a total value of $0.35 There are the same number of Dimes and Quarters, and only those coins. What equations would help us solve?
a A LaTex expression showing \begin{align*}d &= q\\10d + 25q &= 35\end{align*}
b A LaTex expression showing \begin{align*}q &= d\\25q + 10d &= 35\end{align*}
7
An svg image showing a math problem
Some coins have a total value of $0.75 There are the same number of Nickels and Dimes, and only those coins. What equations would help us solve?
a A LaTex expression showing \begin{align*}n &= d\\5n + 10d &= 75\end{align*}
b A LaTex expression showing \begin{align*}d &= n\\10d + 5n &= 75\end{align*}
8
An svg image showing a math problem
Some coins have a total value of $0.15 There are the same number of Nickels and Dimes, and only those coins. What equations would help us solve?
a A LaTex expression showing \begin{align*}d &= n\\10d + 5n &= 15\end{align*}
b A LaTex expression showing \begin{align*}n &= d\\5n + 10d &= 15\end{align*}