The number of blue staplers is twice the number of yellow staplers. The number of yellow staplers is 5 more than the number of green staplers. The total number of staplers is 127. The cost of each blue stapler is $4.30 and the cost of each green stapler is $2.10. The total cost of all the staplers is $392.10.
- Find the number of green staplers.
- Find the cost of a yellow stapler.
(a)
Number of green staplers = 1 u
Number of yellow staplers = 1 u + 5
Number of blue staplers
= 2(1 u + 5)
= 2 u + 10
Total of number of staplers
= 1 u + 1 u + 5 + 2 u + 10
= 4 u + 15
4 u + 15 = 127
4 u = 127 - 15
4 u = 112
1 u = 112 ÷ 4 = 28
Number of green staplers
= 1 u
= 28
(b)
Number of green staplers = 28
Number of yellow staplers
= 28 + 5
= 33
Number of blue staplers
= 2 x 33
= 66
Cost of green staplers
= 28 x 2.10
= $58.80
Cost of blue staplers
= 66 x 4.30
= $283.80
Cost of yellow staplers
= 392.10 - 283.80 - 58.80
= $49.50
Cost of 1 yellow stapler
= 49.50 ÷ 33
= $1.50
Answer(s) (a) 28; (b) $1.50
