1. ## percentage question help?

Alice gave $480 of her salary to her father, 25% of remaining salary to her mother. After giving 43% of her salary to her parents, she saved 15% of her salary and then spend the rest of the salary. a) how much did she spend? b) how much did she give to her mother? 2. Originally Posted by twiceborn Alice gave$480 of her salary to her father, 25% of remaining salary to her mother. After giving 43% of her salary to her parents, she saved 15% of her salary and then spend the rest of the salary.

a) how much did she spend?
b) how much did she give to her mother?

Let x = Alice's salary

Let $480 = amount she gave to her father Let .25(x-480) = amount she gave to her mother These two amounts represent 43% of Alice's salary$\displaystyle 480+.25(x-480)=.43x\displaystyle 48000+25x-12000=43x\displaystyle x=\$2000$

This is Alice's salary.

$\displaystyle .25(2000-480)=\$380$the amount she gave to her mother.$\displaystyle .15(2000)=\$300$ saved.

So, she gave $480 to father,$380 to her mother which is a total of $860 to her parents which is 43% of 2000. She saved$300. She had \$840 left to spend on beer and cigarettes or whatever.