I have 100 bucks to buy 100 fruits. The fruits which I need to buy are- mango; which is 20 piece for 1 buck, lichi; which is 1 piece for 1 buchan and coconut; which is 1 piece for 5 bucks. How many each of6the fruits do I have to buy to get this result-100 fruits for 100 bucks?

number of fruits equation:

m + l + c = 100
cost of fruits equation:
m/20 + l + 5c = 100

subtract them
m/20-m + 4c = 0
-19m/20 = -4c
19m = 80c
but all my variables have to be whole numbers, so the first solution to 19m = 80c is
m = 80, c = 19
put this back into the first equation:
l = 1

so 80 mangos, 1 lichi, and 19 coconuts

check:
that add up to 100
cost: 80/20 + 1 + 5(19) = 100

my answer is correct

To solve this problem, we need to determine the number of each fruit you need to buy in order to get a total of 100 fruits for $100.

Let's assign variables to represent the number of each fruit:
- Let's call the number of mangoes you need to buy "m."
- Similarly, let's call the number of lichis you need to buy "l."
- Lastly, let's call the number of coconuts you need to buy "c."

Based on the given information, we can establish the following equations:

1. The cost equation: 20m + l + 5c = 100
This equation represents the total cost of the fruits, where the cost of mangoes (20m), lichis (l), and coconuts (5c) should sum up to $100.

2. The total fruit equation: m + l + c = 100
This equation represents the total number of fruits, where the number of mangoes (m), lichis (l), and coconuts (c) should sum up to 100.

Now, we have a system of two equations with three variables. To solve for the exact values, we need an extra piece of information.

Could you please provide any additional information or constraints to help determine the number of each fruit?