Final answer:
To divide the number 520 into two parts in the ratio 5:8, you calculate the value of one part by dividing 520 by 13 (the sum of the ratio numbers), which equals 40. Multiply 40 by each number in the ratio to get the two parts: 200 and 320.
Step-by-step explanation:
To divide the number 520 into two parts in the ratio of 5:8, we must first combine the ratio numbers: 5 + 8 = 13 parts. Then, divide the total number 520 by the total number of parts to find the value of one part: 520 ÷ 13 = 40.
To find the two parts, we multiply the value of one part (40) by each number in the ratio. The first part is 5 times one part: 5 × 40 = 200, and the second part is 8 times one part: 8 × 40 = 320.
Therefore, the two parts of the number 520 in the ratio 5:8 are 200 and 320, respectively.