Final answer:
Subtract the number of mice that received the 5-mg and 15-mg doses from the total number of mice to find that there are 58 mice in the control group.
Step-by-step explanation:
To find the number of mice in the control group for a vaccine test in a lab, you must subtract the number of mice that received both doses of the vaccine from the total number of mice. In this case, we have a total of 155 mice, with 55 receiving a 5-mg dose and 42 receiving a 15-mg dose. We can set up an equation to solve for the number of mice in the control group (C).
 
The equation would be:
 
155 = 55 + 42 + C
 
To solve for C, combine the number of mice that received doses:
 55 + 42 = 97 
 
Then subtract this sum from the total:
 155 - 97 = 58
 
Therefore, there are 58 mice in the control group.