SOLUTION: Ella started with a certain amount of money. She spent 2/5 of her money. She earned Php5.00 the next day. Later she lost 3/7 of her money, but she still has Php20.00 left. How mu

Question 1167798: Ella started with a certain amount of money. She spent 2/5 of her money. She
earned Php5.00 the next day. Later she lost 3/7 of her money, but she still has
Php20.00 left. How much did she have at first?

Answer by Edwin McCravy(20054) (Show Source): You can put this solution on YOUR website!
Ella started with a certain amount of money. She spent 2/5 of her money. She
earned Php5.00 the next day. Later she lost 3/7 of her money, but she still has
Php20.00 left. How much did she have at first?

Solve it backwards.

Begin with the Php20.00 she had left.

Going back a step,

Later she lost 3/7 of her money,...

So Php20.00 was 4/7 of what she had before she lost 3/7 of her money, so we
divide Php20.00 by 4/7. 

So she had Php35.00 before she lost 3/7 of it.

Going back another step:

She earned Php5.00 the next day.

So before she earned Php5.00, she only had Php30.00

Going back another step:

She spent 2/5 of her money.

So the Php30.00 was only 3/5 of the money she had before she spent 2/5 of it.

so we divide Php30.00 by 3/5. 

So she started with Php50.00.

Edwin

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