The number of blue markers is four times the number of brown markers. The number of brown markers is 5 more than the number of orange markers. The total number of markers is 121. The cost of each blue marker is $3.60 and the cost of each orange marker is $1.90. The total cost of all the markers is $362.20.
- Find the number of orange markers.
- Find the cost of a brown marker.
(a)
Number of orange markers = 1 u
Number of brown markers = 1 u + 5
Number of blue markers
= 4(1 u + 5)
= 4 u + 20
Total of number of markers
= 1 u + 1 u + 5 + 4 u + 20
= 6 u + 25
6 u + 25 = 121
6 u = 121 - 25
6 u = 96
1 u = 96 ÷ 6 = 16
Number of orange markers
= 1 u
= 16
(b)
Number of orange markers = 16
Number of brown markers
= 16 + 5
= 21
Number of blue markers
= 4 x 21
= 84
Cost of orange markers
= 16 x 1.90
= $30.40
Cost of blue markers
= 84 x 3.60
= $302.40
Cost of brown markers
= 362.20 - 302.40 - 30.40
= $29.40
Cost of 1 brown marker
= 29.40 ÷ 21
= $1.40
Answer(s) (a) 16; (b) $1.40