The number of blue markers is twice the number of orange markers. The number of orange markers is 9 more than the number of green markers. The total number of markers is 115. The cost of each blue marker is $4.10 and the cost of each green marker is $2.70. The total cost of all the markers is $391.10.
- Find the number of green markers.
- Find the cost of a orange marker.
(a)
Number of green markers = 1 u
Number of orange markers = 1 u + 9
Number of blue markers
= 2(1 u + 9)
= 2 u + 18
Total of number of markers
= 1 u + 1 u + 9 + 2 u + 18
= 4 u + 27
4 u + 27 = 115
4 u = 115 - 27
4 u = 88
1 u = 88 ÷ 4 = 22
Number of green markers
= 1 u
= 22
(b)
Number of green markers = 22
Number of orange markers
= 22 + 9
= 31
Number of blue markers
= 2 x 31
= 62
Cost of green markers
= 22 x 2.70
= $59.40
Cost of blue markers
= 62 x 4.10
= $254.20
Cost of orange markers
= 391.10 - 254.20 - 59.40
= $77.50
Cost of 1 orange marker
= 77.50 ÷ 31
= $2.50
Answer(s) (a) 22; (b) $2.50