Question

Ronald is participating in a slimming course. His current mass is 75.5 kg and he intends to reach his ideal weight, 53 kg by reducing his mass by 5/2 kg in each month. He successfully achieved his ideal weight on the x-th month. Find the x-th month.​

Answer 1

Step-by-step explanation:

$75.5kg - \frac{ \frac{5}{2}kg }{month} \times (x \: month) = 53kg \\ 75.5kg - 53kg = \frac{ \frac{5}{2}kg }{month} \times (x \: month) \\ 22.5kg = \frac{5}{2} kg \times x \\ \frac{22.5kg}{ \frac{5}{2} kg} = \frac{\frac{5}{2} kg \times x}{ \frac{5}{2} kg } \\ x = 9$

Therefore, Ronald achieved his goal of 53 kg after 9 months.