The number of green staplers is four times the number of brown staplers. The number of brown staplers is 10 more than the number of blue staplers. The total number of staplers is 104. The cost of each green stapler is $3.70 and the cost of each blue stapler is $2.30. The total cost of all the staplers is $349.40.
- Find the number of blue staplers.
- Find the cost of a brown stapler.
(a)
Number of blue staplers = 1 u
Number of brown staplers = 1 u + 10
Number of green 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 = 104
6 u = 104 - 50
6 u = 54
1 u = 54 ÷ 6 = 9
Number of blue staplers
= 1 u
= 9
(b)
Number of blue staplers = 9
Number of brown staplers
= 9 + 10
= 19
Number of green staplers
= 4 x 19
= 76
Cost of blue staplers
= 9 x 2.30
= $20.70
Cost of green staplers
= 76 x 3.70
= $281.20
Cost of brown staplers
= 349.40 - 281.20 - 20.70
= $47.50
Cost of 1 brown stapler
= 47.50 ÷ 19
= $2.50
Answer(s) (a) 9; (b) $2.50
