The number of yellow folders is thrice the number of purple folders. The number of purple folders is 5 more than the number of orange folders. The total number of folders is 125. The cost of each yellow folder is $4.40 and the cost of each orange folder is $2.90. The total cost of all the folders is $437.90.
- Find the number of orange folders.
- Find the cost of a purple folder.
(a)
Number of orange folders = 1 u
Number of purple folders = 1 u + 5
Number of yellow folders
= 3(1 u + 5)
= 3 u + 15
Total of number of folders
= 1 u + 1 u + 5 + 3 u + 15
= 5 u + 20
5 u + 20 = 125
5 u = 125 - 20
5 u = 105
1 u = 105 ÷ 5 = 21
Number of orange folders
= 1 u
= 21
(b)
Number of orange folders = 21
Number of purple folders
= 21 + 5
= 26
Number of yellow folders
= 3 x 26
= 78
Cost of orange folders
= 21 x 2.90
= $60.90
Cost of yellow folders
= 78 x 4.40
= $343.20
Cost of purple folders
= 437.90 - 343.20 - 60.90
= $33.80
Cost of 1 purple folder
= 33.80 ÷ 26
= $1.30
Answer(s) (a) 21; (b) $1.30
