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

5-61.

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 ✎

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

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* = 6*x* + 10

Ms. D: *y* = 10*x* + 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.