There are 84 blue and grey pens in Box E. There are 60 blue and brown pens in Box F. The number of grey pens in Box E is three times the number of brown pens in Box F. The number of blue pens in both boxes is the same.
- How many brown pens are there in Box F?
- Find the total number of blue pens in both boxes.
(a)
Number of grey pens = 3 u
Number of brown pens = 1 u
Blue pens + 3 u = 84 --- (1)
Blue pens + 1 u = 60 --- (2)
(1) - (2)
3 u - 1 u = 84 - 60
2 u = 24
1 u = 24 ÷ 2 = 12
Number of brown pens
= 1 u
= 12
(b)
Number of blue pens in Box F
= 60 - 12
= 48
Number of blue pens in both boxes
= 2 x 48
= 96
Answer(s): (a) 12; (b) 96