The number of brown staplers is four times the number of yellow staplers. The number of yellow staplers is 8 more than the number of purple staplers. The total number of staplers is 130. The cost of each brown stapler is $2.90 and the cost of each purple stapler is $3.50. The total cost of all the staplers is $376.80.
- Find the number of purple staplers.
- Find the cost of a yellow stapler.
(a)
Number of purple staplers = 1 u
Number of yellow staplers = 1 u + 8
Number of brown staplers
= 4(1 u + 8)
= 4 u + 32
Total of number of staplers
= 1 u + 1 u + 8 + 4 u + 32
= 6 u + 40
6 u + 40 = 130
6 u = 130 - 40
6 u = 90
1 u = 90 ÷ 6 = 15
Number of purple staplers
= 1 u
= 15
(b)
Number of purple staplers = 15
Number of yellow staplers
= 15 + 8
= 23
Number of brown staplers
= 4 x 23
= 92
Cost of purple staplers
= 15 x 3.50
= $52.50
Cost of brown staplers
= 92 x 2.90
= $266.80
Cost of yellow staplers
= 376.80 - 266.80 - 52.50
= $57.50
Cost of 1 yellow stapler
= 57.50 ÷ 23
= $2.50
Answer(s) (a) 15; (b) $2.50
