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Practice — Maths 9 • Algebraic models in solving practical problems

Word problems solved by forming systems of equations
Difficulty: ★★☆
1516

There are 25 vehicles in a depot: cars and trucks. A car has a 50-litre tank, and a truck has a 120-litre tank. To fill the whole fleet, 2090 litres of fuel were needed. How many cars and how many trucks are there?

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Word problems solved by forming systems of equations
Difficulty: ★★☆
1517

The first system administrator services 3 more computers per hour than the second administrator. Together, in 5 hours, they serviced 55 computers. How many computers per hour does each administrator service?

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Word problems solved by forming systems of equations
Difficulty: ★★☆
1518

At a port, two cranes of different capacity unload containers. The first crane unloads 5 more containers per hour than the second. In 6 hours of working together, they unloaded 270 containers. How many containers per hour does each crane unload?

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Word problems solved by forming systems of equations
Difficulty: ★★☆
1519

Two teams lay fibre-optic cable. The first team lays 100 metres less per day than the second team. In 5 days of working together, they laid 4000 metres of cable. What is the daily output of each team?

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Word problems solved by forming systems of equations
Difficulty: ★★☆
1520

In a laboratory, two devices operated for different lengths of time: the first for 5 hours and the second for 3 hours. Together they consumed 13 kWh of electrical energy. On another day, the first worked for 3 hours and the second for 6 hours, and the total consumption was 12 kWh. What is the power consumption of each device?

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