Caleb has 20 more books than Danica. If Caleb gives Danica half of his books, Danica will have 4 more books than Caleb. How many books did Caleb have to start with? E. 24 F. 34 G. 44 H. 55

Option E: 24.

Step-by-step explanation:

When Caleb (C) has 20 more books than Danica (D), we have:

  (1)

Now, when Caleb gives Danica half of his books:

  (2)

Danica will have 4 more books than Caleb, so:

    (3)    

Also we have that:

  (4)  

By entering equation (2) and equation (3) into equation (4) we have:

  (5)

From (1) we have:

  (6)

By entering (6) into (5):

And, from (6):

Therefore, the correct option is E, Caleb had to start with 24 books.

I hope it helps you!          

the red lines denote the population of the bacteria after 35 hours. that would be 2,409.24. the y-intercept is the blue line which is 800 because that is the starting point. the equation used to make the graph is 800(1.032)^h, where h is the number of hours.

step-by-step explanation:

the answers are in the images, i received 100% on this assignment. hope this !