The number of brown punchers is twice the number of green punchers. The number of green punchers is 9 more than the number of yellow punchers. The total number of punchers is 139. The cost of each brown puncher is $3.90 and the cost of each yellow puncher is $1.60. The total cost of all the punchers is $440.70.
- Find the number of yellow punchers.
- Find the cost of a green puncher.
(a)
Number of yellow punchers = 1 u
Number of green punchers = 1 u + 9
Number of brown punchers
= 2(1 u + 9)
= 2 u + 18
Total of number of punchers
= 1 u + 1 u + 9 + 2 u + 18
= 4 u + 27
4 u + 27 = 139
4 u = 139 - 27
4 u = 112
1 u = 112 ÷ 4 = 28
Number of yellow punchers
= 1 u
= 28
(b)
Number of yellow punchers = 28
Number of green punchers
= 28 + 9
= 37
Number of brown punchers
= 2 x 37
= 74
Cost of yellow punchers
= 28 x 1.60
= $44.80
Cost of brown punchers
= 74 x 3.90
= $288.60
Cost of green punchers
= 440.70 - 288.60 - 44.80
= $107.30
Cost of 1 green puncher
= 107.30 ÷ 37
= $2.90
Answer(s) (a) 28; (b) $2.90
