There are 63 purple and blue stamps in Box J. There are 53 purple and grey stamps in Box K. The number of blue stamps in Box J is three times the number of grey stamps in Box K. The number of purple stamps in both boxes is the same.
- How many grey stamps are there in Box K?
- Find the total number of purple stamps in both boxes.
(a)
Number of blue stamps = 3 u
Number of grey stamps = 1 u
Purple stamps + 3 u = 63 --- (1)
Purple stamps + 1 u = 53 --- (2)
(1) - (2)
3 u - 1 u = 63 - 53
2 u = 10
1 u = 10 ÷ 2 = 5
Number of grey stamps
= 1 u
= 5
(b)
Number of purple stamps in Box K
= 53 - 5
= 48
Number of purple stamps in both boxes
= 2 x 48
= 96
Answer(s): (a) 5; (b) 96