Question

If B is between A and C, and AB = (1/4)(16x+24), BC = 7x+15, and AC = 120. Find AB and BC.

A) AB = 24 and BC = 96
B) AB = 48 and BC = 72
C) AB = 36 and BC = 84
D) AB = 60 and BC = 60

Answer 1

To find the lengths of AB and BC, set up an equation using the given expressions and solve for x.

Step-by-step explanation:

Given that B is between A and C, we can represent the lengths of AB and BC as fractions of their respective total lengths. Let's set up the equation:

AB + BC = AC

Substituting the given expressions for AB and BC:

(1/4)(16x+24) + (7x+15) = 120

Simplifying the equation:

(16x+24)/4 + 7x + 15 = 120

Now, solve this equation to find the values of x, AB, and BC.