Question

a student needs at least three notebooks and three pencils. notebooks cost 60 naira and pencils cost 36 naira and the student had 360 naira to spend. the student decides to spend as much as possible of his 360 naira.
1. how many ways can he spend his money
2. does any of the ways give him any change, if so how much?

Answer 1

1. How many ways can he spend his money?
* Minimum Spending: 3 notebooks * 60 naira/notebook + 3 pencils * 36 naira/pencil = 288 naira
* Remaining Money: 360 naira - 288 naira = 72 naira
The student can spend the remaining 72 naira on extra pencils:
* Max Pencils: 72 naira / 36 naira/pencil = 2 pencils
This means the student can buy:
* 3 notebooks and 3 pencils
* 3 notebooks and 4 pencils
* 3 notebooks and 5 pencils
Total combinations: 3 ways
2. Does any of the ways give him any change?
* 3 notebooks + 3 pencils = 288 naira (no change)
* 3 notebooks + 4 pencils = 332 naira (28 naira change)
* 3 notebooks + 5 pencils = 376 naira (This goes over budget)
Answer:
* The student can spend his money in 3 ways.
* Yes, there's one way he gets change: buying 3 notebooks and 4 pencils leaves him with 28 naira change.