The number of orange markers is four times the number of green markers. The number of green markers is 8 more than the number of red markers. The total number of markers is 118. The cost of each orange marker is $3.70 and the cost of each red marker is $2.40. The total cost of all the markers is $373.50.
- Find the number of red markers.
- Find the cost of a green marker.
(a)
Number of red markers = 1 u
Number of green markers = 1 u + 8
Number of orange 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 = 118
6 u = 118 - 40
6 u = 78
1 u = 78 ÷ 6 = 13
Number of red markers
= 1 u
= 13
(b)
Number of red markers = 13
Number of green markers
= 13 + 8
= 21
Number of orange markers
= 4 x 21
= 84
Cost of red markers
= 13 x 2.40
= $31.20
Cost of orange markers
= 84 x 3.70
= $310.80
Cost of green markers
= 373.50 - 310.80 - 31.20
= $31.50
Cost of 1 green marker
= 31.50 ÷ 21
= $1.50
Answer(s) (a) 13; (b) $1.50