Diane will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of 51.96 and costs an additional 0.15 per mile driven. The second plan 45.96 has an initial fee of and costs an additional 0.19 per mile driven. How many miles would Diane need to drive for the two plans to cost the same?

Question

Diane will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of 51.96 and costs an additional 0.15 per mile driven. The second plan 45.96 has an initial fee of  and costs an additional 0.19 per mile driven. How many miles would Diane need to drive for the two plans to cost the same?

anonymous · Answer

solve $51.96+.15x=45.96+.19x$ for $x$

anonymous · Answer

probably easier to get rid of annoying decimals and solve 
$$15x+5196=19x+4596$$

yanni · Answer

150