SOLUTION: Hi Debbie planned to save a certain amount of money in 6 months. She saved $115 in the first 2 months. In the following 2 months she saved 70% of the remaining amount of money to

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Question 1208343: Hi
Debbie planned to save a certain amount of money in 6 months. She saved $115 in the first 2 months. In the following 2 months she saved 70% of the remaining amount of money to be saved.The amount of money left to be saved was 1/5 of the total amount she planned to save at first. What was the total amount she planned to save.
Answer by ikleyn(52817) About Me  (Show Source):
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Debbie planned to save a certain amount of money in 6 months. She saved $115 in the first 2 months.
In the following 2 months she saved 70% of the remaining amount of money to be saved.
The amount of money left to be saved was 1/5 of the total amount she planned to save at first.
What was the total amount she planned to save.
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Let x be the total amount Debbie planned to same.


She saved $115 in the first 2 month - - - hence,  (x-115) dollars is the remaining money to be saved.

In the following 2 months she saved 0.7*(x-115)  dollars.


The amount of money left to be saved was  %281%2F5%29x = 0.2x.


At this point, we can write an equation for the total money

    115 + 0.7*(x-115) + 0.2x = x.


Simplify, solve and find x

    115 + 0.7x - 0.7*115 + 0.2x = x,

    0.9x + 34.50 = x

    34.50 = x - 0.9x

    34.50 = 0.1x

        x = 34.50/0.1 = 345.


Thus the problem is complete.


ANSWER.  Debbie planned to save $345.

Solved.