The number of orange staplers is four times the number of blue staplers. The number of blue staplers is 8 more than the number of purple staplers. The total number of staplers is 106. The cost of each orange stapler is $4.40 and the cost of each purple stapler is $2.70. The total cost of all the staplers is $388.80.
- Find the number of purple staplers.
- Find the cost of a blue stapler.
(a)
Number of purple staplers = 1 u
Number of blue staplers = 1 u + 8
Number of orange 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 = 106
6 u = 106 - 40
6 u = 66
1 u = 66 ÷ 6 = 11
Number of purple staplers
= 1 u
= 11
(b)
Number of purple staplers = 11
Number of blue staplers
= 11 + 8
= 19
Number of orange staplers
= 4 x 19
= 76
Cost of purple staplers
= 11 x 2.70
= $29.70
Cost of orange staplers
= 76 x 4.40
= $334.40
Cost of blue staplers
= 388.80 - 334.40 - 29.70
= $24.70
Cost of 1 blue stapler
= 24.70 ÷ 19
= $1.30
Answer(s) (a) 11; (b) $1.30
