There are 46 silver and blue pens in Box G. There are 34 silver and brown pens in Box H. The number of blue pens in Box G is three times the number of brown pens in Box H. The number of silver pens in both boxes is the same.
- How many brown pens are there in Box H?
- Find the total number of silver pens in both boxes.
(a)
Number of blue pens = 3 u
Number of brown pens = 1 u
Silver pens + 3 u = 46 --- (1)
Silver pens + 1 u = 34 --- (2)
(1) - (2)
3 u - 1 u = 46 - 34
2 u = 12
1 u = 12 ÷ 2 = 6
Number of brown pens
= 1 u
= 6
(b)
Number of silver pens in Box H
= 34 - 6
= 28
Number of silver pens in both boxes
= 2 x 28
= 56
Answer(s): (a) 6; (b) 56