There are 49 brown and black pens in Box F. There are 34 brown and red pens in Box G. The number of black pens in Box F is four times the number of red pens in Box G. The number of brown pens in both boxes is the same.
- How many red pens are there in Box G?
- Find the total number of brown pens in both boxes.
(a)
Number of black pens = 4 u
Number of red pens = 1 u
Brown pens + 4 u = 49 --- (1)
Brown pens + 1 u = 34 --- (2)
(1) - (2)
4 u - 1 u = 49 - 34
3 u = 15
1 u = 15 ÷ 3 = 5
Number of red pens
= 1 u
= 5
(b)
Number of brown pens in Box G
= 34 - 5
= 29
Number of brown pens in both boxes
= 2 x 29
= 58
Answer(s): (a) 5; (b) 58