Either wait until you're older (you can save up for bigger better trips), or find a group to travel with.
Are you at uni or working at the moment?
If you're at uni then look for something like a travel society or make friends with a sport/activity based society that also happens to travel. If not just poke around google looking for things like meetups of people who are looking for people to travel with.
If all else fails try STA travel, I think they also do group travel so maybe your parents will be okay with that?
Once you get started it's dead easy to meet people to travel with, just stick to hostels and young areas and you'll meet tonnes of people.
edit:
Haha sorry just seen that you're in the islamic society, if you have muslim parents then I'd urge you to find a group of girls who are in to travelling. It took years for some of my muslim friends to be allowed to travel without their parents or siblings, especially the girls.