# How do I solve this?

On Monday Sam withdrew half of the money he had in the bank, onTuesday he withdrew \$3000, on Wednesday he withdrew half of the money he had left. If he has \$5000 left in the bank, how much did Sam start with on Monday?

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start with the \$5000. this is the half which is left so double it \$10,000. Put back the \$3,000. \$13,000. This is half of the starting amount. double it \$26,000 this is what he had on monday before the bank opened.

\$26,000.

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• Let \$P be Sam's initial deposit in the bank, then

he withdrew

P/2+3000+(P/2-3000)/2=3P/4+1500

What he left in the bank is 5000=>

P-(3P/4+1500)=5000

=>

P/4=6500

=>

P=\$26000

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• On Monday Sam withdrew half of the money he had in the bank,

on Tuesday he withdrew \$3000,

on Wednesday he withdrew half of the money he had left.

If he has \$5000 left in the bank,

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• Beginning Amount: x

Remaining after Monday withdrawal: x - x/2

Remaining after Tuesday withdrawal: x - x/2 - 3000

Remaining after Wednesday withdrawal: (x - x/2 - 3000) - (x-x/2-3000)/2 = 5000

(x - x/2 - 3000)/2 = 5000

x/2 - 3000 = 10000

x/2 = 13000

x = 26000

Ans: \$26000

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