The number of green markers is twice the number of orange markers. The number of orange markers is 6 more than the number of brown markers. The total number of markers is 102. The cost of each green marker is $3.10 and the cost of each brown marker is $1.90. The total cost of all the markers is $250.50.
- Find the number of brown markers.
- Find the cost of a orange marker.
(a)
Number of brown markers = 1 u
Number of orange markers = 1 u + 6
Number of green markers
= 2(1 u + 6)
= 2 u + 12
Total of number of markers
= 1 u + 1 u + 6 + 2 u + 12
= 4 u + 18
4 u + 18 = 102
4 u = 102 - 18
4 u = 84
1 u = 84 ÷ 4 = 21
Number of brown markers
= 1 u
= 21
(b)
Number of brown markers = 21
Number of orange markers
= 21 + 6
= 27
Number of green markers
= 2 x 27
= 54
Cost of brown markers
= 21 x 1.90
= $39.90
Cost of green markers
= 54 x 3.10
= $167.40
Cost of orange markers
= 250.50 - 167.40 - 39.90
= $43.20
Cost of 1 orange marker
= 43.20 ÷ 27
= $1.60
Answer(s) (a) 21; (b) $1.60
