The number of red folders is twice the number of orange folders. The number of orange folders is 8 more than the number of brown folders. The total number of folders is 128. The cost of each red folder is $3.10 and the cost of each brown folder is $2.30. The total cost of all the folders is $365.80.
- Find the number of brown folders.
- Find the cost of a orange folder.
(a)
Number of brown folders = 1 u
Number of orange folders = 1 u + 8
Number of red folders
= 2(1 u + 8)
= 2 u + 16
Total of number of folders
= 1 u + 1 u + 8 + 2 u + 16
= 4 u + 24
4 u + 24 = 128
4 u = 128 - 24
4 u = 104
1 u = 104 ÷ 4 = 26
Number of brown folders
= 1 u
= 26
(b)
Number of brown folders = 26
Number of orange folders
= 26 + 8
= 34
Number of red folders
= 2 x 34
= 68
Cost of brown folders
= 26 x 2.30
= $59.80
Cost of red folders
= 68 x 3.10
= $210.80
Cost of orange folders
= 365.80 - 210.80 - 59.80
= $95.20
Cost of 1 orange folder
= 95.20 ÷ 34
= $2.80
Answer(s) (a) 26; (b) $2.80
