Systems of Equations Word Problems Quiz with Explanations

Question 1

A store sells notebooks for 2 dollars each and pens for 1 dollar each. You buy $10$ items total for 16 dollars. How many notebooks and pens did you buy?

Accepted Answer

$6$ notebooks and $4$ pens

Answer

$4$ notebooks and $6$ pens

Answer

$5$ notebooks and $5$ pens

Answer

$8$ notebooks and $2$ pens

Question 2

Maria is $6$ years older than Noah. In $8$ years, Maria will be twice Noah’s age. How old are they now?

Accepted Answer

Maria $20$, Noah $14$

Answer

Maria $22$, Noah $16$

Answer

Maria $16$, Noah $10$

Answer

Maria $18$, Noah $12$

Question 3

A chemist needs $50$ mL of a $40\%$ salt solution. They have a $25\%$ solution and a $55\%$ solution. How many mL of each should be mixed?

Accepted Answer

$30$ mL of $25\%$ and $20$ mL of $55\%$

Answer

$35$ mL of $25\%$ and $15$ mL of $55\%$

Answer

$20$ mL of $25\%$ and $30$ mL of $55\%$

Answer

$25$ mL of $25\%$ and $25$ mL of $55\%$

Systems of Equations Word Problems Quiz with Explanations

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