Finding fixed amount deposited

Mathematics
Tutor: None Selected Time limit: 1 Day

Tom is saving $3000.  He deposits $200, then a fixed amount every month for 5 months. Then gets a check for 3 times the total amount saved so far. When depositing the check, he now has $400 extra.  What was the fixed amount deposited each month?

May 17th, 2015

This is an algebra sum and can do it for you :)

May 17th, 2015

Do you know how to solve it?  Can you show me?

May 17th, 2015

Yes I can show you work. Let me do it on paper

May 17th, 2015

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May 17th, 2015

Let the amount he saved per month be $ x

So, for 5 months he deposits $5x

before he deposited $200 , so now he has saved $200+5x

now he gives a check for 3 times of total amount saved so far. so check value = 3 * (200+5x) = 600+15x

now he has got $400 eextra = $400 + 3000 = $3400

so 600+15x+200+5x = 3400 

=> 800 + 20x = 3400

=> 20x = 3400 - 800 

=> 20x = 2600

=> x = 2600/20 = 130

So per month he saved $ 130 (ans )

best the answer :)

May 17th, 2015

Perfect, it checks correctly!  Thank you!

May 17th, 2015

So, please best the answer :)

May 17th, 2015

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May 17th, 2015

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