Answer:
a) Alfredo has 1/5 of his original crop remaining.
b) The original weight of Alfredo's crop was 4300 kg.
Explanation:
First, Alfredo sent 2/5 of his potato crop to the market last week. This means he has 3/5 of his crop remaining.
Now, this week he sent 2/3 of the remainder to the market. To find out what fraction of his crop has not gone to market this week, we need to calculate:
Remaining fraction after this week = (3/5) * (1 - 2/3)
Let's calculate this:
Remaining fraction after this week = (3/5) * (1 - 2/3)
Remaining fraction after this week = (3/5) * (1/3)
Remaining fraction after this week = 1/5
So, after this week, Alfredo has 1/5 of his original crop remaining.
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b) If he has 860 kg remaining, what was the original weight of the crop?
We know that Alfredo has 1/5 of his original crop remaining, and this corresponds to 860 kg. To find the original weight of the crop, we can set up a proportion:
(1/5) of original weight = 860 kg
Now, let's solve for the original weight:
Original weight = (860 kg) * (5/1)
Original weight = 860 kg * 5
Original weight = 4300 kg
So, the original weight of Alfredo's crop was 4300 kg.