Please solve the word problem below

Question

Iona started with a certain amount of money. She sent half of her money. She earned $6 the next day. Later, she lost 1/6 of her money, but still had $15 left. How much money did she have in the beginning?

Answer 1

Let x = starting amount of money

 

Half is 1/2x

 

6 more means add 6 to this, so

 

1/2x + 6

 

Then she lost 1/6 which means she still has 5/6 so

 

5/6(1/2x + 6) = 15

 

Solve this for x