The number of red punchers is thrice the number of blue punchers. The number of blue punchers is 7 more than the number of brown punchers. The total number of punchers is 118. The cost of each red puncher is $2.70 and the cost of each brown puncher is $1.60. The total cost of all the punchers is $263.80.
- Find the number of brown punchers.
- Find the cost of a blue puncher.
(a)
Number of brown punchers = 1 u
Number of blue punchers = 1 u + 7
Number of red punchers
= 3(1 u + 7)
= 3 u + 21
Total of number of punchers
= 1 u + 1 u + 7 + 3 u + 21
= 5 u + 28
5 u + 28 = 118
5 u = 118 - 28
5 u = 90
1 u = 90 ÷ 5 = 18
Number of brown punchers
= 1 u
= 18
(b)
Number of brown punchers = 18
Number of blue punchers
= 18 + 7
= 25
Number of red punchers
= 3 x 25
= 75
Cost of brown punchers
= 18 x 1.60
= $28.80
Cost of red punchers
= 75 x 2.70
= $202.50
Cost of blue punchers
= 263.80 - 202.50 - 28.80
= $32.50
Cost of 1 blue puncher
= 32.50 ÷ 25
= $1.30
Answer(s) (a) 18; (b) $1.30
