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Home > AC > Chapter 5 > Lesson 5.1.6 > Problem 5-61

5-61.
  1. Ms. B and Ms. D are writing problems for an algebra book. Ms. B started with 10 problems already written, and she can write 6 problems an hour. Ms. D had no problems written, but she writes 10 problems an hour. Homework Help ✎

    1. When will Ms. B have the same number of problems written as Ms. D?

    2. How many problems will they each have written at that time?

Write down the problem as two equations in which x equals the time in hours and y equals the number of problems.

Ms. B: y = 6x + 10
Ms. D: y = 10x + 0

Use the Equal Values Method by setting the equations equal to each other and solving for x to find the time.

Substitute x into either of the original equations above and solve for y to find how many problems they will each have written at that time.