Jade spent $114 on some files, notebooks and staplers. The number of files she bought was ²₃ the number of notebooks. The number of staplers she bought was ³₅ the number of notebooks. The ratio of the amount of money she spent on the files, notebooks and staplers was 4 : 7 : 8. The notebooks were sold at 5 for $7. Find the price of 1 file.

Amount spent
Files	Notebooks	Staplers	Total
4 u	7 u	8 u	$114

Total amount that Jade spent on files, notebooks and staplers
= 4 u + 7 u + 8 u
= 19 u

19 u = 114

1 u = 114 ÷ 19 = 6

Amount that Jade spent on notebooks
= 7 u
= 7 x 6
= $42

Number of sets of notebooks of 5 bought
= 42 ÷ 7
= 6

Number of notebooks that Jade bought
= 6 x 5
= 30

Number of items bought
Files	Notebooks	Staplers	Total
2x5	3x5
	5x3	3x3
10 p	15 p	9 p	34 p

The number of notebooks bought is repeated.  Make the number of notebooks bought is the same.  LCM of 3 and 5 is 15.

Number of notebooks that Jade bought = 15 p

15 p = 30

1 p = 30 ÷ 15 = 2

Number of files that Jade bought
= 10 p
= 10 x 2
= 20

Amount that Jade spent on files
= 4 u
= 4 x 6
= $24

Price of 1 file
= 24 ÷ 20
= $1.20

Answer(s): $1.20