Respuesta :

Answer:

The parts of 64 are 40 and 24

Step-by-step explanation:

Let us use the ratio method to solve the question

∵ The ratio is 5: 3

→ Find the sum of the two terms of the ratio

∵ 5 + 3 = 8

∵ We want to divide 64 in this ratio

→ By using the ratio method

→  5  :  3  :  8

→  x  :   y  :  64

→ By using cross multiplication

x × 8 = 5 × 64

∴ 8x = 320

→ Divide both sides by 8

x = 40

y × 8 = 3 × 64

∴ 8y = 192

→ Divide both sides by 8

y = 24

The parts of 64 are 40 and 24