The number of red punchers is four times the number of blue punchers. The number of blue punchers is 6 more than the number of green punchers. The total number of punchers is 108. The cost of each red puncher is $4.30 and the cost of each green puncher is $1.70. The total cost of all the punchers is $400.20.
- Find the number of green punchers.
- Find the cost of a blue puncher.
(a)
Number of green punchers = 1 u
Number of blue punchers = 1 u + 6
Number of red punchers
= 4(1 u + 6)
= 4 u + 24
Total of number of punchers
= 1 u + 1 u + 6 + 4 u + 24
= 6 u + 30
6 u + 30 = 108
6 u = 108 - 30
6 u = 78
1 u = 78 ÷ 6 = 13
Number of green punchers
= 1 u
= 13
(b)
Number of green punchers = 13
Number of blue punchers
= 13 + 6
= 19
Number of red punchers
= 4 x 19
= 76
Cost of green punchers
= 13 x 1.70
= $22.10
Cost of red punchers
= 76 x 4.30
= $326.80
Cost of blue punchers
= 400.20 - 326.80 - 22.10
= $51.30
Cost of 1 blue puncher
= 51.30 ÷ 19
= $2.70
Answer(s) (a) 13; (b) $2.70
