System of Equations Word Problems Worksheet

This worksheet provides grade 10 students with practice solving system of equations word problems, covering various real-world scenarios.

Grade 10 Math AlgebraSystem of Equations Word Problems

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Includes

3 Short AnswerMultiple ChoiceFill in the BlanksTrue / False

Standards

CCSS.MATH.CONTENT.HSA.CED.A.3CCSS.MATH.CONTENT.HSA.REI.C.6

Topics

AlgebraSystem of EquationsWord ProblemsGrade 10

8 sections · Free to use · Printable

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System of Equations Word Problems

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Read each word problem carefully. Set up a system of two linear equations with two variables, solve the system, and clearly state your answer with appropriate units.

1. Sarah invested $5000 in two different accounts. One account pays 4% annual interest, and the other pays 6% annual interest. If her total interest earned for the year was $270, how much did she invest in each account?

2. A chemist needs to mix a 10% acid solution with a 40% acid solution to produce 150 liters of a 20% acid solution. How many liters of each solution should the chemist use?

3. The sum of the ages of a father and his son is 50 years. Ten years ago, the father's age was five times the son's age. Find their current ages.

4. A cinema sold 500 tickets for a movie. Adult tickets cost $12 and child tickets cost $8. If the total revenue from ticket sales was $5400, how many adult tickets were sold?

250 adult tickets

300 adult tickets

350 adult tickets

400 adult tickets

5. The perimeter of a rectangle is 60 cm. The length is 4 cm more than twice the width. Find the length and width of the rectangle. The length is and the width is .

6. A piggy bank contains only dimes and quarters. There are 25 coins in total, and their total value is $4.00. Is it true that there are more quarters than dimes?

True

False