Betty earns $52.65 per week working as a lifeguard. she worked as a lifeguard for 5 weeks. she also earned $46.25 painting faces at a carnival. she spent $16.25 of her total earnings to buy a book. betty put 1 over 6 of the remaining money in her savings account. betty used the following steps to find the total money she put in her saving account: step 1: [($52.65 ⋅ 5) + $46.25 − $16.25] ⋅ 1 over 6 step 2: [$263.25 + $46.25 − $16.25] ⋅ 1 over 6 step 3: 293.25 ⋅ 1 over 6 step 4: $1,759.50in which step did betty first make an error? use words to explain how betty can correct her error.

The error betty first made was in Step 4 and she can correct the error by;

Betty can correct her error by dividing $293.25 by 6 instead of multiplying $293.25 by 6

We are told that;

Amount earned per week as a lifeguard = $52.65

She worked as a lifeguard for 5 weeks.

Amount earned for 5 weeks = $52.65 x 5

Amount earned for 5 weeks as a lifeguard = $263.25

Amount earned for painting faces at a carnival = $46.25  

Total amount earned = $263.25 + $46.25

Total amount earned = $309.50

She spent $16.25 to buy a book

Amount left after purchase of book = $309.50 - $16.25

Amount left after purchase of book = $293.25

She put ¹/₆ of this amount left after book purchase into her savings account:

Thus;

Amount into savings account = $293.25 × ¹/₆ = $48.88

Let us now look at her steps and compare to what I've done above.

Step 1: [($52.65 ⋅ 5) + $46.25 − $16.25] × ¹/₆  ;This step is correct

Step 2: [$263.25 + $46.25 − $16.25] × ¹/₆  ;This step is correct

Step 3: $293.25 × ¹/₆  ;This step is correct

Step 4: $1,759.50 ;This step is not correct because the amount into the savings account is supposed to be $48.88

Betty can correct her error by dividing $293.25 by 6 instead of multiplying $293.25 by 6

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