A board 120 inches long is divided into 2 sections. If the ratio of the 2 sections is 3:5, what are the lengths of the sections?

A 15 inches, 105 inches

B

24 inches, 96 inches

C

40 inches, 80 inches

D

45 inches, 75 inches

Answer: D. 45 inches, 75 inches

Step-by-step explanation:

Hi, to answer this question, first, we have to divide the board's length by the number of parts that conforms the 2 sections.

Since the ratio is 3/5, one section is made of 3 parts and the other section is made of 5 parts. 3+5 = 8 parts

120 / 8 = 15 inches

Each part measures 15 inches.

Now, we have to multiply each part's length by the number of parts that each section has. (3 and 5)

15x 3 = 45 inches

15 x 5 = 75 inches