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Annie has two jobs. She is paid $14.04 per hour for tutoring at City College and $8.75 per hour at a coffee shop. Last week she tutored for 8 hours and worked at the coffee shop for 15 hours. How much more would she have earned by working all 23 hours as a tutor instead?
A$243.57
B$79.35
C$322.92
D$59.35
Answer & Solution
Correct answer: B. $79.35
1. First find what she actually earned: 8 hours times $14.04 per hour equals $112.32 from tutoring.
2. The coffee shop paid 15 hours times $8.75 per hour, which is $131.25.
3. Her actual pay for the week was 112.32 plus 131.25, which equals $243.57.
4. If all 23 hours had been tutoring, she would have earned 23 times $14.04, which is $322.92.
5. The difference is 322.92 minus 243.57, which equals $79.35, so tutoring all week pays $79.35 more.
6. Reporting $243.57 answers a different question, since that is what she actually earned rather than the extra amount.
7. Reporting $322.92 stops at the all-tutoring total without subtracting what she really made.
8. Reporting $59.35 comes from a subtraction slip in the final step, so always line up the decimal points before subtracting.
_Source: OpenStax Prealgebra (CC BY 4.0), Ch 5 "Decimals", section 5.2 Decimal Operations_
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