The number of blue punchers is thrice the number of brown punchers. The number of brown punchers is 5 more than the number of red punchers. The total number of punchers is 140. The cost of each blue puncher is $3.20 and the cost of each red puncher is $1.90. The total cost of all the punchers is $396.50.
- Find the number of red punchers.
- Find the cost of a brown puncher.
(a)
Number of red punchers = 1 u
Number of brown punchers = 1 u + 5
Number of blue punchers
= 3(1 u + 5)
= 3 u + 15
Total of number of punchers
= 1 u + 1 u + 5 + 3 u + 15
= 5 u + 20
5 u + 20 = 140
5 u = 140 - 20
5 u = 120
1 u = 120 ÷ 5 = 24
Number of red punchers
= 1 u
= 24
(b)
Number of red punchers = 24
Number of brown punchers
= 24 + 5
= 29
Number of blue punchers
= 3 x 29
= 87
Cost of red punchers
= 24 x 1.90
= $45.60
Cost of blue punchers
= 87 x 3.20
= $278.40
Cost of brown punchers
= 396.50 - 278.40 - 45.60
= $72.50
Cost of 1 brown puncher
= 72.50 ÷ 29
= $2.50
Answer(s) (a) 24; (b) $2.50
