The number of orange punchers is four times the number of yellow punchers. The number of yellow punchers is 8 more than the number of green punchers. The total number of punchers is 106. The cost of each orange puncher is $3.80 and the cost of each green puncher is $1.60. The total cost of all the punchers is $350.10.
- Find the number of green punchers.
- Find the cost of a yellow puncher.
(a)
Number of green punchers = 1 u
Number of yellow punchers = 1 u + 8
Number of orange punchers
= 4(1 u + 8)
= 4 u + 32
Total of number of punchers
= 1 u + 1 u + 8 + 4 u + 32
= 6 u + 40
6 u + 40 = 106
6 u = 106 - 40
6 u = 66
1 u = 66 ÷ 6 = 11
Number of green punchers
= 1 u
= 11
(b)
Number of green punchers = 11
Number of yellow punchers
= 11 + 8
= 19
Number of orange punchers
= 4 x 19
= 76
Cost of green punchers
= 11 x 1.60
= $17.60
Cost of orange punchers
= 76 x 3.80
= $288.80
Cost of yellow punchers
= 350.10 - 288.80 - 17.60
= $43.70
Cost of 1 yellow puncher
= 43.70 ÷ 19
= $2.30
Answer(s) (a) 11; (b) $2.30
