Question

Raymond has 120 books on his bookshelf that he has not read. He plans on reading 3 books per week until there are only 24 books that he still needs to read. Which equation can be used to determine the number of weeks, w, it will take Raymond to have only 24 books left, and how many weeks will it take? 3w - 24 = 120; 48 weeks 24w = 120 - 3; 4 weeks 120 - 3w = 24; 32 weeks 24w - 3 = 120; 5 weeks

Answer 1

⓵ The equation would be : 120 - 3w = 24

⓶ To test it out, let’s start by isolating the “W” :

120 - 3w = 24
-24 -24

↓

96 - 3w = 0
+3w +3w

↓

96 = 3w
÷3 ÷3

↓

32 = w

⓷ Now let’s see if everything works :

32 should be the number of weeks it will take Raymond to have only 24 books left!

If Raymond reads 3 books per week, how many did he read in 32 weeks?

32 × 3 = 96

If Raymond read 96 books in 32 weeks, how many books does he have left?

120 - 96 = 24

So the equation in #⓵ works!

I really hope this helped, if there’s anything just let me know! ☻