How many bacteria should Jaquan start with so that they have the same amount at the end of the day?

Question

Colby and Jaquan are growing bacteria in an experiment in a laboratory. Colby starts with 50 bacteria in his culture and the number of bacteria doubles every 2 hours. Jaquan has a different type of bacteria that doubles every 3 hours. How many bacteria should Jaquan start with so that they have the same amount at the end of the day?

Answer 1

b represents the number of bacteria Jaquan needs

Assuming a 24 hour day (you did not specify)

 

50(2)^24/2 = b(2)^24/3

50(2)¹² / (2)⁸ = b

50(2)⁴ = b

 

Can you complete and answer?