The mass of 1bag of potatoes is 500g.
3 such bags of potatoes are 475g lighter than a bottle of oil.
(a) What is the mass of 3 bags of potatoes?
(b) What is the mass of the bottle of oil?
Give your answer in kilograms and grams.
(a)
3 ∙ 500 g = 1500 g
Since 1 kg = 1000 g
Mass of 3 bags of potatoes = 1500 g = 1.5 kg
(b)
x = mass of the bottle of oil
3 such bags of potatoes are 475 g lighter than a bottle of oil, means:
3 ∙ 500 g = x - 475 g
1500 g = x - 475 g
Add 475 g to both sides.
1975 g = x
Mass of the bottle of oil = 1975 g = 1.975 kg
To find the mass of 3 bags of potatoes, we can multiply the mass of 1 bag by 3.
(a) Mass of 3 bags of potatoes = 500g/bag * 3 bags = 1500g
To find the mass of the bottle of oil, we need to calculate the difference between the mass of 3 bags of potatoes and the mass of the oil bottle.
(b) Mass of the oil bottle = Mass of 3 bags of potatoes + 475g
Before we continue, let's convert the mass to kilograms and grams for convenience.
1 kilogram (kg) = 1000 grams (g)
So,
(a) Mass of 3 bags of potatoes = 1500g = 1.5 kilograms (kg)
Now, to calculate the mass of the oil bottle:
(b) Mass of the oil bottle = (1.5 kg + 475 g) / 1000 g/kg
Adding the grams and converting to kilograms:
(b) Mass of the oil bottle = (1500 g + 475 g) / 1000 g/kg = 1975 g / 1000 g/kg = 1.975 kilograms (kg)
Therefore,
(a) The mass of 3 bags of potatoes is 1.5 kilograms (kg) or 1500 grams (g).
(b) The mass of the bottle of oil is 1.975 kilograms (kg) or 1975 grams (g).
To solve this problem, we need to find the mass of 3 bags of potatoes and the mass of the bottle of oil.
(a) The first step is to find the weight of one bag of potatoes. We are given that the mass of one bag of potatoes is 500g.
The weight of 3 bags of potatoes can be found by multiplying the weight of one bag by the number of bags:
Weight of 3 bags of potatoes = 500g/bag * 3 bags = 1500g
To convert the weight from grams to kilograms, divide by 1000:
Weight of 3 bags of potatoes = 1500g / 1000 = 1.5 kg
So, the mass of 3 bags of potatoes is 1.5 kilograms or 1500 grams.
(b) We are told that 3 bags of potatoes are 475g lighter than a bottle of oil.
Since we already know the weight of 3 bags of potatoes is 1500g, we can subtract the given weight difference to find the weight of the bottle of oil:
Weight of bottle of oil = Weight of 3 bags of potatoes + Weight difference
Weight of bottle of oil = 1500g + 475g = 1975g
To convert the weight from grams to kilograms, divide by 1000:
Weight of bottle of oil = 1975g / 1000 = 1.975 kg
So, the mass of the bottle of oil is 1.975 kilograms or 1975 grams.