The number of brown staplers is four times the number of purple staplers. The number of purple staplers is 10 more than the number of orange staplers. The total number of staplers is 128. The cost of each brown stapler is $3.70 and the cost of each orange stapler is $1.80. The total cost of all the staplers is $414.40.
- Find the number of orange staplers.
- Find the cost of a purple stapler.
(a)
Number of orange staplers = 1 u
Number of purple staplers = 1 u + 10
Number of brown staplers
= 4(1 u + 10)
= 4 u + 40
Total of number of staplers
= 1 u + 1 u + 10 + 4 u + 40
= 6 u + 50
6 u + 50 = 128
6 u = 128 - 50
6 u = 78
1 u = 78 ÷ 6 = 13
Number of orange staplers
= 1 u
= 13
(b)
Number of orange staplers = 13
Number of purple staplers
= 13 + 10
= 23
Number of brown staplers
= 4 x 23
= 92
Cost of orange staplers
= 13 x 1.80
= $23.40
Cost of brown staplers
= 92 x 3.70
= $340.40
Cost of purple staplers
= 414.40 - 340.40 - 23.40
= $50.60
Cost of 1 purple stapler
= 50.60 ÷ 23
= $2.20
Answer(s) (a) 13; (b) $2.20
