The number of brown punchers is twice the number of blue punchers. The number of blue punchers is 5 more than the number of green punchers. The total number of punchers is 111. The cost of each brown puncher is $3.40 and the cost of each green puncher is $3.10. The total cost of all the punchers is $338.30.

1. Find the number of green punchers.
2. Find the cost of a blue puncher.

(a)
Number of green punchers = 1 u
Number of blue punchers = 1 u + 5

Number of brown punchers
= 2(1 u + 5)
= 2 u + 10

Total of number of punchers
= 1 u + 1 u + 5 + 2 u + 10
= 4 u + 15

4 u + 15 = 111
4 u = 111 - 15
4 u = 96

1 u = 96 ÷ 4 = 24

Number of green punchers
= 1 u
= 24

(b)
Number of green punchers = 24

Number of blue punchers
=  24 + 5
= 29

Number of brown punchers
= 2 x 29
= 58

Cost of green punchers 
= 24 x 3.10
= $74.40

Cost of brown punchers 
= 58 x 3.40
= $197.20

Cost of blue punchers
= 338.30 - 197.20 - 74.40
= $66.70

Cost of 1 blue puncher
= 66.70 ÷ 29
= $2.30

Answer(s) (a) 24; (b) $2.30