The number of green folders is twice the number of brown folders. The number of brown folders is 5 more than the number of orange folders. The total number of folders is 103. The cost of each green folder is $2.70 and the cost of each orange folder is $2.30. The total cost of all the folders is $234.20.
- Find the number of orange folders.
- Find the cost of a brown folder.
(a)
Number of orange folders = 1 u
Number of brown folders = 1 u + 5
Number of green folders
= 2(1 u + 5)
= 2 u + 10
Total of number of folders
= 1 u + 1 u + 5 + 2 u + 10
= 4 u + 15
4 u + 15 = 103
4 u = 103 - 15
4 u = 88
1 u = 88 ÷ 4 = 22
Number of orange folders
= 1 u
= 22
(b)
Number of orange folders = 22
Number of brown folders
= 22 + 5
= 27
Number of green folders
= 2 x 27
= 54
Cost of orange folders
= 22 x 2.30
= $50.60
Cost of green folders
= 54 x 2.70
= $145.80
Cost of brown folders
= 234.20 - 145.80 - 50.60
= $37.80
Cost of 1 brown folder
= 37.80 ÷ 27
= $1.40
Answer(s) (a) 22; (b) $1.40
