Answer/Step-by-step explanation:
A cook has 6 onions that have a total mass of 900 grams and 8 apples that have a total mass of 1 kilogram. All onions are the same size, and all apples are the same size. Which has the greater mass, an onion or an apple? Explain.
1. Underline the question you need to answer.
See above
2. What units are used in the problem?
The units used are grams and kilograms.
3. What should you do before comparing the masses?
Before comparing masses you should make sure that the apples and onions unit's are both the same.
4. How many kilograms is 900 grams?
0.9 kilograms
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This is solved by creating a proportion:
Proportion is a mathematical comparison between two ratios (or fractions) and are equal to each other.
We know that 1 kilogram = 1000 grams
You can remember this by the fact that the prefix kilo = 1000
Your proportion would be set up as:
1 kilogram/ 1000 grams = x kilograms/ 900 grams
we can multiply 900 grams on both sides to isolate x (get x by itself)
900 grams * 1 kilogram/ 1000 grams = 900 grams * x kilograms/ 900 grams
simplified it would look like:
900 kg/1000 = x kg
x = 0.9 kg
So 0.9 kilograms is equal to 900 grams.
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5. How many grams is 1 kilograms?
There are 1000 grams in 1 kilograms.
6. What do you need to do find the mass of 1 onion and 1 apple? Explain.
To find the mass of one onion you must divide the total mass of onions (900 grams) by 6, and you get that one onion is equal to 150 grams. To find the mass of one apple you can first convert its total mass (1 k) to grams, which equals 1000 grams. Now you can take its total mass in grams and divide it by 8. You get that one apple is equal to 125 grams.
Which has the greater mass, an onion or an apple? Explain
An onion has a greater mass than the apple because one onion has mass of 150 grams, which is greater than one apple's mass of 125 grams.