There are 105 pink and grey stamps in Box E. There are 57 pink and gold stamps in Box F. The number of grey stamps in Box E is five times the number of gold stamps in Box F. The number of pink stamps in both boxes is the same.
- How many gold stamps are there in Box F?
- Find the total number of pink stamps in both boxes.
(a)
Number of grey stamps = 5 u
Number of gold stamps = 1 u
Pink stamps + 5 u = 105 --- (1)
Pink stamps + 1 u = 57 --- (2)
(1) - (2)
5 u - 1 u = 105 - 57
4 u = 48
1 u = 48 ÷ 4 = 12
Number of gold stamps
= 1 u
= 12
(b)
Number of pink stamps in Box F
= 57 - 12
= 45
Number of pink stamps in both boxes
= 2 x 45
= 90
Answer(s): (a) 12; (b) 90