The number of brown staplers is thrice the number of blue staplers. The number of blue staplers is 8 more than the number of orange staplers. The total number of staplers is 102. The cost of each brown stapler is $3.90 and the cost of each orange stapler is $2.40. The total cost of all the staplers is $332.80.
- Find the number of orange staplers.
- Find the cost of a blue stapler.
(a)
Number of orange staplers = 1 u
Number of blue staplers = 1 u + 8
Number of brown staplers
= 3(1 u + 8)
= 3 u + 24
Total of number of staplers
= 1 u + 1 u + 8 + 3 u + 24
= 5 u + 32
5 u + 32 = 102
5 u = 102 - 32
5 u = 70
1 u = 70 ÷ 5 = 14
Number of orange staplers
= 1 u
= 14
(b)
Number of orange staplers = 14
Number of blue staplers
= 14 + 8
= 22
Number of brown staplers
= 3 x 22
= 66
Cost of orange staplers
= 14 x 2.40
= $33.60
Cost of brown staplers
= 66 x 3.90
= $257.40
Cost of blue staplers
= 332.80 - 257.40 - 33.60
= $41.80
Cost of 1 blue stapler
= 41.80 ÷ 22
= $1.90
Answer(s) (a) 14; (b) $1.90
