The number of purple staplers is four times the number of orange staplers. The number of orange staplers is 6 more than the number of red staplers. The total number of staplers is 132. The cost of each purple stapler is $3.80 and the cost of each red stapler is $3.20. The total cost of all the staplers is $461.50.
- Find the number of red staplers.
- Find the cost of a orange stapler.
(a)
Number of red staplers = 1 u
Number of orange staplers = 1 u + 6
Number of purple staplers
= 4(1 u + 6)
= 4 u + 24
Total of number of staplers
= 1 u + 1 u + 6 + 4 u + 24
= 6 u + 30
6 u + 30 = 132
6 u = 132 - 30
6 u = 102
1 u = 102 ÷ 6 = 17
Number of red staplers
= 1 u
= 17
(b)
Number of red staplers = 17
Number of orange staplers
= 17 + 6
= 23
Number of purple staplers
= 4 x 23
= 92
Cost of red staplers
= 17 x 3.20
= $54.40
Cost of purple staplers
= 92 x 3.80
= $349.60
Cost of orange staplers
= 461.50 - 349.60 - 54.40
= $57.50
Cost of 1 orange stapler
= 57.50 ÷ 23
= $2.50
Answer(s) (a) 17; (b) $2.50
