##### Finding fixed amount deposited

label Mathematics
account_circle Unassigned
schedule 1 Day
account_balance_wallet \$5

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

Hello? Are you still there?

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 )

May 17th, 2015

Perfect, it checks correctly!  Thank you!

May 17th, 2015

May 17th, 2015

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May 17th, 2015

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May 17th, 2015
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May 17th, 2015
Jun 26th, 2017
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