Mathematics, 10.07.2019 04:30 andrewbao999
Garland put 2b + 3 dollars in the bank in the first week. the following week he doubled the first week’s savings and put that amount in the bank. the next week he doubled what was in the bank and put that amount in the bank. if he now has $477 in he bank, how much did he put in the bank the first week?
Answers: 1
![\bf \stackrel{\textit{1st week}}{(2b+3)}+\stackrel{\textit{2nd week}}{2(2b+3)}+\stackrel{\textit{3rd week}}{2[2(2b+3)]}~~=~~\stackrel{\textit{now in the bank}}{477} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ (2b+3)+(4b+6)(8b+12)=477\implies 14b+21=477\implies 14b=56 \\\\\\ b=\cfrac{56}{14}\implies b=4 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{\textit{1st week}}{2(4)+3}\implies 11](/tpl/images/0071/9838/92fb4.png)
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Garland put 2b + 3 dollars in the bank in the first week. the following week he doubled the first we...
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