There are 105 green and grey erasers in Box K. There are 61 green and silver erasers in Box L. The number of grey erasers in Box K is five times the number of silver erasers in Box L. The number of green erasers in both boxes is the same.
- How many silver erasers are there in Box L?
- Find the total number of green erasers in both boxes.
(a)
Number of grey erasers = 5 u
Number of silver erasers = 1 u
Green erasers + 5 u = 105 --- (1)
Green erasers + 1 u = 61 --- (2)
(1) - (2)
5 u - 1 u = 105 - 61
4 u = 44
1 u = 44 ÷ 4 = 11
Number of silver erasers
= 1 u
= 11
(b)
Number of green erasers in Box L
= 61 - 11
= 50
Number of green erasers in both boxes
= 2 x 50
= 100
Answer(s): (a) 11; (b) 100