The weight of 5 liters of gasoline and 3 liters of kerosene is 5.95 kg, and the weight of 5 liters of gasoline

| January 3, 2021 | education

The weight of 5 liters of gasoline and 3 liters of kerosene is 5.95 kg, and the weight of 5 liters of gasoline and 7 liters of kerosene is 9.15 kg. What is the weight of 1 liter of gasoline? What is the weight of 1 liter of kerosene?

1. Let X kg be the mass of gasoline.
Y kg is the weight of kerosene.
Then you can write down two conditions of the problem in mathematical language.
5 * X + 3 * Y = 5.95.
5 * X + 7 * Y = 9.15.
2. Received two equations with two unknowns.
Let’s subtract the first from the second.
5 * X + 7 * Y – 5 * X – 3 * Y = 9.15 – 5.95.
4 * Y = 3.2.
Y = 3.2 / 4.
Y = 0.8 kg = 800 grams – the mass of 1 liter of kerosene.
3. Find the weight of the gasoline.
We use the first equation.
5 * X + 3 * 0.8 = 5.95.
5 * X = 5.95 – 2.4.
5 * X = 3.55.
X = 0.71 kg = 710 grams – weight of gasoline.
Answer: The mass of 1 liter of gasoline is 710 grams; weight of 1 liter of kerosene – 800 grams.



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