Diana spent $100 on some markers, staplers and notebooks. The number of markers she bought was ²₃ the number of staplers. The number of notebooks she bought was ¹₅ the number of staplers. The ratio of the amount of money she spent on the markers, staplers and notebooks was 7 : 5 : 8. The staplers were sold at 3 for $5. Find the price of 1 marker.

Amount spent
Markers	Staplers	Notebooks	Total
7 u	5 u	8 u	$100

Total amount that Diana spent on markers, staplers and notebooks
= 7 u + 5 u + 8 u
= 20 u

20 u = 100

1 u = 100 ÷ 20 = 5

Amount that Diana spent on staplers
= 5 u
= 5 x 5
= $25

Number of sets of staplers of 3 bought
= 25 ÷ 5
= 5

Number of staplers that Diana bought
= 5 x 3
= 15

Number of items bought
Markers	Staplers	Notebooks	Total
2x5	3x5
	5x3	1x3
10 p	15 p	3 p	28 p

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

Number of staplers that Diana bought = 15 p

15 p = 15

1 p = 15 ÷ 15 = 1

Number of markers that Diana bought
= 10 p
= 10 x 1
= 10

Amount that Diana spent on markers
= 7 u
= 7 x 5
= $35

Price of 1 marker
= 35 ÷ 10
= $3.50

Answer(s): $3.50