Answer:
A- 2/7 of the initial weight.
B- 28.58% of the initial weight.
Explanation:
A- To determine the weight fraction that the dog must lose to be healthy, we have to take into account the common divisor between 35 and 25. Both are divisible by 5, so we must calculate based on that number to obtain a comparable fraction between both weights.
So, the dog must go from weighing 35/35 to weighing 25/35, that is, from weighing 7/7 to weighing 5/7. Therefore, the dog should lose 2/7 of its weight to reach the ideal weight.
B- To determine the percentage of weight that the dog must lose to reach its ideal weight, it is determined through a cross multiplication:
35 kg = 100%
25 kg = X
(25 x 100) / 35 = X
2500/35 = X
71.42 = X
So, the 25 kg represents 71.42% of the initial 35 kg. Therefore, the 10 kg lost represent 28.58% of the initial weight (100 - 71.42).
