There are 53 gold and pink stamps in Box J. There are 29 gold and yellow stamps in Box K. The number of pink stamps in Box J is four times the number of yellow stamps in Box K. The number of gold stamps in both boxes is the same.
- How many yellow stamps are there in Box K?
- Find the total number of gold stamps in both boxes.
(a)
Number of pink stamps = 4 u
Number of yellow stamps = 1 u
Gold stamps + 4 u = 53 --- (1)
Gold stamps + 1 u = 29 --- (2)
(1) - (2)
4 u - 1 u = 53 - 29
3 u = 24
1 u = 24 ÷ 3 = 8
Number of yellow stamps
= 1 u
= 8
(b)
Number of gold stamps in Box K
= 29 - 8
= 21
Number of gold stamps in both boxes
= 2 x 21
= 42
Answer(s): (a) 8; (b) 42