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