Multiplication Properties of Equality

Use Different Strategies

Work Time

Use Different Strategies

Work on your own to solve this problem using a ratio table and using an equation. Then work with a partner.

A local hospital has a rule that the ratio of nurses to patients must be 1 : 12. A hospital expands to fit 672 patients. How many nurses does the hospital need?

  • Explain your strategies to your partner. Challenge your partner to have clear and complete explanations.
  • Describe how you used the multiplication property of equality to solve the equation.


  • What questions did you ask yourself before you worked on this problem?
  • Remember to multiply both ratio quantities by the same value to preserve equality.
  • The multiplication property of equality states that if you multiply both sides of an equation by the same quantity, the sides remain equal.