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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 $15$ coins, all dimes and quarters, worth $\text{\$}2.85$ in all. How many of each coin are there?
2. 2
   $2$ notebooks and $4$ pens cost $\text{\$}18$. $4$ notebooks and $2$ pens cost $\text{\$}24$. How much does each notebook and each pen cost?
3. 3
   A jar holds $21$ coins, all dimes and quarters, worth $\text{\$}4.05$ in all. How many of each coin are there?
4. 4
   $4$ notebooks and $2$ pens cost $\text{\$}26$. $1$ notebook and $3$ pens cost $\text{\$}9$. How much does each notebook and each pen cost?

Daniel Math Academy · Grade 8 Math

Answer Key

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

1. 16 dimes, 9 quarters
2. 25 dollars per notebook, 2 dollars per pen
3. 38 dimes, 13 quarters
4. 46 dollars per notebook, 1 dollars per pen