There are 55 black and silver erasers in Box J. There are 47 black and green erasers in Box K. The number of silver erasers in Box J is three times the number of green erasers in Box K. The number of black erasers in both boxes is the same.
- How many green erasers are there in Box K?
- Find the total number of black erasers in both boxes.
(a)
Number of silver erasers = 3 u
Number of green erasers = 1 u
Black erasers + 3 u = 55 --- (1)
Black erasers + 1 u = 47 --- (2)
(1) - (2)
3 u - 1 u = 55 - 47
2 u = 8
1 u = 8 ÷ 2 = 4
Number of green erasers
= 1 u
= 4
(b)
Number of black erasers in Box K
= 47 - 4
= 43
Number of black erasers in both boxes
= 2 x 43
= 86
Answer(s): (a) 4; (b) 86