MATH SOLVE

6 months ago

Q:
# 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.

Accepted Solution

A:

$52.65 per week working as a lifeguard, for 5 weeks.

$52.65 x 5 = $263.25

plus $46.25 painting faces at a carnival

total earned : $263.25 + $46.25 = $309.50

spent $16.25: $309.50 - $16.25 = $293.25

put 1 over 6 of the remaining money in her savings account: $293.25 *1/6 = $48.88

so

Step 1: [($52.65 ⋅ 5) + $46.25 − $16.25] ⋅ 1 over 6 .........correct

Step 2: [$263.25 + $46.25 − $16.25] ⋅ 1 over 6 .........correct

Step 3: 293.25 ⋅ 1 over 6 .........correct

Step 4: $1,759.50 ....error

answer

Step 4: $1,759.50, this should be $48.88

$52.65 x 5 = $263.25

plus $46.25 painting faces at a carnival

total earned : $263.25 + $46.25 = $309.50

spent $16.25: $309.50 - $16.25 = $293.25

put 1 over 6 of the remaining money in her savings account: $293.25 *1/6 = $48.88

so

Step 1: [($52.65 ⋅ 5) + $46.25 − $16.25] ⋅ 1 over 6 .........correct

Step 2: [$263.25 + $46.25 − $16.25] ⋅ 1 over 6 .........correct

Step 3: 293.25 ⋅ 1 over 6 .........correct

Step 4: $1,759.50 ....error

answer

Step 4: $1,759.50, this should be $48.88