Systems of Equations Word Problems

Daniel Math Academy · Grade 8 Math

Systems of Equations Word Problems

Skill U.6 · Systems of equations · ★★☆ Medium

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Write a system of equations and solve it.

1. 1
   A jar holds $41$ coins, all dimes and quarters, worth $\text{\$}7.10$ in all. How many of each coin are there?
2. 2
   A jar holds $23$ coins, all dimes and quarters, worth $\text{\$}5.30$ in all. How many of each coin are there?
3. 3
   $4$ notebooks and $3$ pens cost $\text{\$}14$. $1$ notebook and $1$ pen cost $\text{\$}4$. How much does each notebook and each pen cost?
4. 4
   A jar holds $30$ coins, all dimes and quarters, worth $\text{\$}5.70$ in all. How many of each coin are there?

Daniel Math Academy · Grade 8 Math

Answer Key

U.6 Systems of Equations Word Problems · ★★☆ Medium

1. 121 dimes, 20 quarters
2. 23 dimes, 20 quarters
3. 32 dollars per notebook, 2 dollars per pen
4. 412 dimes, 18 quarters