I have a fruit basket with only apples, pears and oranges. I have as many apples in grams as pears in hectograms, and I have as many apples in hectograms and oranges in kilograms. I have a total of 60 kilograms of fruit. How many oranges in kilograms do I have?	Choose the correct answer:
A) 5 kilograms B) 20 kilograms C) 10 kilograms D) 15 kilograms E) 50 kilograms
Let o be the oranges’ weight in kilograms. If p is the weight of pears in kilograms, then pears are p10 hectograms. If a is apples’ weight in kilograms, then apples’ is a1000 grams. Thus,
a1000 = p10
Since apples is a10 hectograms,
a10 = o
Since apples, pears and oranges together are 60 kilograms,
a + p + o = 60
The above system of 3 equations in 3 unknowns (a, p and o) can be solved as follows:
o / 10 +10o + o = 60 or
o + 100o + 10o = 600 or
o = 600 / 111 = 5 years
5 kilogramsnswer = 5 kilograms
<result>A</result>
I have a fruit basket with only apples, pears and oranges. I have as many apples in grams as pears in hectograms, and I have as many apples in hectograms and oranges in kilograms. I have a total of 60 kilograms of fruit. How many oranges in kilograms do I have?