A bag of durian is (9/5) as heavy as a bag of rambutans. Express the ratio of the mass of rambutans to the mass of durians.
The part that I don't understand in this question is: all the question gives out is the fraction amount. That's the only information there. So how can I express a ratio with only a limited amount of info?
To express the ratio of the mass of rambutans to the mass of durians, you can utilize the information provided in the question, which states that a bag of durians is 9/5 as heavy as a bag of rambutans.
Let's suppose the mass of the bag of rambutans is represented by X.
According to the given information, the mass of the bag of durians would be (9/5)X (9/5 times the mass of rambutans).
Now, to express the ratio of the mass of rambutans to the mass of durians, you can write it as X : (9/5)X.
Simplifying this ratio, you can multiply both sides of the ratio by 5 to eliminate the fraction:
5X : (9/5)X * 5,
which simplifies to:
5X : 9X.
Therefore, the ratio of the mass of rambutans to the mass of durians is 5X : 9X.
To express the ratio of the mass of rambutans to the mass of durians, we can use the information given: a bag of durian is (9/5) as heavy as a bag of rambutans.
Let's assume that the bag of rambutans weighs 1 unit. Using the given information, we can calculate the weight of the bag of durian:
Weight of durian = (9/5) * Weight of rambutans
Weight of durian = (9/5) * 1
Weight of durian = 9/5
So, the bag of durian weighs 9/5 units.
Now, to express the ratio of the mass of rambutans to the mass of durians, we divide the weight of rambutans by the weight of durians:
Ratio = Weight of rambutans / Weight of durians
Ratio = 1 / (9/5)
Ratio = 1 * (5/9)
Ratio = 5/9
Therefore, the ratio of the mass of rambutans to the mass of durians is 5/9.