1. A notebook costs $5 more than a folder. Greg purchased 3 notebooks and 2 folders and paid a total cost $30. What is the cost
of each item? 1. A notebook costs $ 5 more than a folder . Greg purchased 3 notebooks and 2 folders and paid a total cost $ 30 . What is the cost of each item ?
First we write out what we know Notebook = n Folder = f It says a notebook is +5 than a folder so f = n +5 It says he bought 3 notebooks and 2 folders for $30 3n + 2f = 30
Because we know from the first equation f=n+5, we can substitute that into the second equation for f
3n + 2(n+5) = 30 3n + 2n +10 =30. Now Combine like terms 5n +10 =30. Now isolate n by subtracting 10 from both sides 5n = 20. Now isolate n by dividing both sides by 5 n = 4
Now we do the same thing to find f We substitute the value of n (4) into the equation 3n + 2f =30 3(4) +2f =30 12 +2f =30. Now isolate f by subtracting 12 from both sides 2f = 18. Now isolate f by dividing both sides by 2 f = 9
We check our work by inserting the n and f values we found into one of the equations n + 5 = f 4 + 5 = 9 9 = 9. It worked it equals so it’s correct
