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Systems of Equations - Riverside Math - Free Printable

Systems of Equations - Riverside Math

Educational worksheet: Systems of Equations - Riverside Math. Download and print for classroom or home learning activities.

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1. Let A be the number of adult tickets and C be the number of child tickets.
Equations: A + C = 1679, 35A + 20C = 44620.
Solution: A = 748, C = 931.

2. Let x and y be the two numbers.
Equations: x + y = 189, x - y = 15.
Solution: x = 102, y = 87.

3. Let p be the plane's speed in still air and w be the wind speed.
Equations: p + w = 172, p - w = 144.
Solution: p = 158 mph, w = 14 mph.

4. Let q be the number of quarters and d be the number of dimes.
Equations: q + d = 37, 0.25q + 0.10d = 5.95.
Solution: q = 15, d = 22.

5. Let d be the cost of one donut and c be the cost of one cup of coffee.
Equations: 6d + 8c = 21, 10d + 5c = 16.25.
Solution: d = 0.75, c = 2.25.

6. Let x be the first number and y be the second number.
Equations: 2x + 3y = 50, y/2 = x - 1.
Solution: x = 8, y = 12.

7. Let D be Dan's age and S be Sarah's age.
Equations: D = S - 4, D + S = 48.
Solution: D = 22, S = 26.

8. Let L be the number of seats in the lower section and H be the number of seats in the higher section.
Equations: L + H = 42000, 120L + 180H = 3840000.
Solution: L = 38000, H = 4000.
Parent Tip: Review the logic above to help your child master the concept of systems of linear equations word problems worksheet.
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