The number of orange punchers is twice the number of green punchers. The number of green punchers is 8 more than the number of yellow punchers. The total number of punchers is 100. The cost of each orange puncher is $4.30 and the cost of each yellow puncher is $3.30. The total cost of all the punchers is $324.60.
- 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 + 8
Number of orange punchers
= 2(1 u + 8)
= 2 u + 16
Total of number of punchers
= 1 u + 1 u + 8 + 2 u + 16
= 4 u + 24
4 u + 24 = 100
4 u = 100 - 24
4 u = 76
1 u = 76 ÷ 4 = 19
Number of yellow punchers
= 1 u
= 19
(b)
Number of yellow punchers = 19
Number of green punchers
= 19 + 8
= 27
Number of orange punchers
= 2 x 27
= 54
Cost of yellow punchers
= 19 x 3.30
= $62.70
Cost of orange punchers
= 54 x 4.30
= $232.20
Cost of green punchers
= 324.60 - 232.20 - 62.70
= $29.70
Cost of 1 green puncher
= 29.70 ÷ 27
= $1.10
Answer(s) (a) 19; (b) $1.10
