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At a bakery, two workers earn the same amount of money in one afternoon, working the same number of hours. Rheehan is a manager and makes $16 an hour. He also receives $4 in tips. John makes $11 an hour and receives $29 in tips. How many hours did each worker work at the bakery that afternoon?​

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Answer:

5 hours

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Property

Explanation:

Step 1: Set up Equations

h is the amount of hours. Both workers make the same amount of money (l).

Rheehan: l = 16h + 4

John: l = 11h + 29

16h + 4 = 11h + 29

Step 2: Solve for h

  1. Subtract 11h on both sides: 5h + 4 = 29
  2. Subtract 4 on both sides: 5h = 25
  3. Divide 5 on both sides: h = 5
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