There are 55 silver and yellow pens in Box K. There are 27 silver and brown pens in Box L. The number of yellow pens in Box K is five times the number of brown pens in Box L. The number of silver pens in both boxes is the same.
- How many brown pens are there in Box L?
- Find the total number of silver pens in both boxes.
(a)
Number of yellow pens = 5 u
Number of brown pens = 1 u
Silver pens + 5 u = 55 --- (1)
Silver pens + 1 u = 27 --- (2)
(1) - (2)
5 u - 1 u = 55 - 27
4 u = 28
1 u = 28 ÷ 4 = 7
Number of brown pens
= 1 u
= 7
(b)
Number of silver pens in Box L
= 27 - 7
= 20
Number of silver pens in both boxes
= 2 x 20
= 40
Answer(s): (a) 7; (b) 40