When mushrooms are dried, they lose 80 percent of their mass. What weight of mushrooms must be picked to get 1 kg of dry mushrooms?
5kg.
Explanation: this problem can be done using guess and check method do 80% of 1 then 80% of 2 and so on. I got the answer of 5.
.20x = 1
To determine the weight of mushrooms that need to be picked in order to obtain 1 kg of dry mushrooms, we can use the information that mushrooms lose 80 percent of their mass when dried.
Let's denote the weight of the fresh mushrooms as "X" kg. When these mushrooms are dried, they will only weigh 20 percent of their original weight, which is 0.2X kg.
According to the question, we want to obtain 1 kg of dry mushrooms. Therefore, we can set up an equation:
0.2X = 1
To solve for X, we can divide both sides of the equation by 0.2:
X = 1 / 0.2
X = 5
Therefore, 5 kg of fresh mushrooms must be picked in order to obtain 1 kg of dry mushrooms.
In dry mushrooms there are 0.2kg of water and 0.8kg of mushroom because 20% of 1kg is 0.2kg and 80% of 1kg is 0.8kg.
In dried mushrooms 0.8kg is 20% and the water (w) is 80%.
To find w we multiply 0.8kg by 4 to get 3.2kg. To find the total weight of the mushrooms we must add 0.8kg to 3.2kg and we will get 4kg.
Answer: 4kg