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: $1,759.50 In which step did Betty first make an error? Use words to explain how Betty can correct her error.
The mistake is in step 4. It's correct up to step 3. Step 3 shows: $293.25 * 1/6 (this is correct) Now you must multiply $293.25 by the fraction 1/6, which is the same as dividing $293.25 by 6. Instead, in step 4, $293.25 was multiplied by 6. Step 4 is the mistake.