The number of blue markers is twice the number of green markers. The number of green markers is 5 more than the number of purple markers. The total number of markers is 131. The cost of each blue marker is $4.10 and the cost of each purple marker is $3.10. The total cost of all the markers is $406.10.
- Find the number of purple markers.
- Find the cost of a green marker.
(a)
Number of purple markers = 1 u
Number of green markers = 1 u + 5
Number of blue markers
= 2(1 u + 5)
= 2 u + 10
Total of number of markers
= 1 u + 1 u + 5 + 2 u + 10
= 4 u + 15
4 u + 15 = 131
4 u = 131 - 15
4 u = 116
1 u = 116 ÷ 4 = 29
Number of purple markers
= 1 u
= 29
(b)
Number of purple markers = 29
Number of green markers
= 29 + 5
= 34
Number of blue markers
= 2 x 34
= 68
Cost of purple markers
= 29 x 3.10
= $89.90
Cost of blue markers
= 68 x 4.10
= $278.80
Cost of green markers
= 406.10 - 278.80 - 89.90
= $37.40
Cost of 1 green marker
= 37.40 ÷ 34
= $1.10
Answer(s) (a) 29; (b) $1.10
