How can i eat healthy when my family doesnt want to change their eating habits?

Im 15 and trying to lose weight im 5'8 and weight like 171 or 172 i think and i want to get to atleast 160 or 150.but i dont know how when all the time my mom is buying fastfood like ( taco bell,mcdonalds,popeyes,churches chicken,papa jonhs pizza,and more ) and if she cooks at home its either cookes in grease or in the oven.And i cant cook myself so cookin myself is out the question ok! i also dont like fruits at all cuz they make me throw up & i dont like many vegetables ( only green beans,peas,corn,potatoes,and carrots thats cooked ) i tried gettin a job plenty of times but they never call me call me back for the job.And i went to the worksource so they could find me a job for sum summer program they was doin but they havent called yet since june which is really makin me mad becuz by time they call school will be starting back.but anyways i just want to know how can i eat healthy when its barely anything heathy to eat in my house.And i cant afford to buy anything for myself ( shid im only a teen ].plzz help becuz im getting really fustrated with every thing becuz its so hard losing weight when i get no support! i have tried to talk to my parents about getting heathier foods but she wont.so i guess ima gonna have to be fat forever and not ever be able to wear 2 pieces or look good at the beach becuz of them.