The number of blue markers is four times the number of orange markers. The number of orange markers is 8 more than the number of red markers. The total number of markers is 106. The cost of each blue marker is $2.90 and the cost of each red marker is $3.20. The total cost of all the markers is $284.10.

1. Find the number of red markers.
2. Find the cost of a orange marker.

(a)
Number of red markers = 1 u
Number of orange markers = 1 u + 8

Number of blue markers
= 4(1 u + 8)
= 4 u + 32

Total of number of markers
= 1 u + 1 u + 8 + 4 u + 32
= 6 u + 40

6 u + 40 = 106
6 u = 106 - 40
6 u = 66

1 u = 66 ÷ 6 = 11

Number of red markers
= 1 u
= 11

(b)
Number of red markers = 11

Number of orange markers
=  11 + 8
= 19

Number of blue markers
= 4 x 19
= 76

Cost of red markers 
= 11 x 3.20
= $35.20

Cost of blue markers 
= 76 x 2.90
= $220.40

Cost of orange markers
= 284.10 - 220.40 - 35.20
= $28.50

Cost of 1 orange marker
= 28.50 ÷ 19
= $1.50

Answer(s) (a) 11; (b) $1.50