In order to reduce fat, aerobic exercise is the core exercise mode, because it will directly consume fat during aerobic exercise. The optional items in the gym generally include: treadmills, elliptical machines, exercise bikes (not spinning bikes), treadmills, and aerobics, which are generally these sports. In order to reduce fat, you should exercise at least five days a week, preferably once a day for 50-60 minutes each time. During exercise, the heart rate should be controlled within 50%-75% of the maximum heart rate (220- age) to achieve the best fat-reducing effect.
Finally, I think instead of trying to convince your mother, we should follow the advice I gave above and train carefully first. If your mother gives you money, but it doesn't achieve the expected results, your credit rating with your mother will plummet, and it will be more difficult to meet similar things that need your mother's support in the future.