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. If he now has $477 in Thebes bank, how much did he put in the bank the first week?

Question

Mathematics

Seth Francis

4 April, 10:28

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. If he now has $477 in Thebes bank, how much did he put in the bank the first week?

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Answers (1)

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Matias · Answer 1

1st week: 2b + 3

2nd week: 2 (2b + 3) = 4b + 6

3rd week: 2 (4b + 6) = 8b + 12

If 8b + 12 is $477, $477 - 12 must be 8b. $477 - 12 = $465 / 8 = $58.125 /.13

2b + 3 = 2 x 58.13 + 3 = $116.26 + 3 =

$119.26 is your answer