### Home > AC > Chapter 5 > Lesson 5.1.6 > Problem5-61

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.

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: $y=10x+0$

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

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

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