​It takes an ant farm 6 days to consume 3/8 of an apple. ​(​Show all work) At that rate, in how many days will the ant farm consume 3 apples?

48 days

Step-by-step explanation:

Given

Ant takes 6 days to consume   of an apple

Using unitary method

let x and 400 - x be the two numbers.  

==> 0.80x + 0.85(400 - x) = 400 - 68 from the statement of the problem.  

< ==> 0.80x + 0.85(400 - x) = 400 - 68  

==> 340 - 0.05x = 332  

< ==> -0.05x = -8 ==> x = 160, the first number ==> 400 - x = 240, the second number.