There are 55 brown and gold erasers in Box K. There are 35 brown and black erasers in Box L. The number of gold erasers in Box K is five times the number of black erasers in Box L. The number of brown erasers in both boxes is the same.
- How many black erasers are there in Box L?
- Find the total number of brown erasers in both boxes.
(a)
Number of gold erasers = 5 u
Number of black erasers = 1 u
Brown erasers + 5 u = 55 --- (1)
Brown erasers + 1 u = 35 --- (2)
(1) - (2)
5 u - 1 u = 55 - 35
4 u = 20
1 u = 20 ÷ 4 = 5
Number of black erasers
= 1 u
= 5
(b)
Number of brown erasers in Box L
= 35 - 5
= 30
Number of brown erasers in both boxes
= 2 x 30
= 60
Answer(s): (a) 5; (b) 60