There are 49 black and silver cards in Box W. There are 29 black and purple cards in Box X. The number of silver cards in Box W is five times the number of purple cards in Box X. The number of black cards in both boxes is the same.
- How many purple cards are there in Box X?
- Find the total number of black cards in both boxes.
(a)
Number of silver cards = 5 u
Number of purple cards = 1 u
Black cards + 5 u = 49 --- (1)
Black cards + 1 u = 29 --- (2)
(1) - (2)
5 u - 1 u = 49 - 29
4 u = 20
1 u = 20 ÷ 4 = 5
Number of purple cards
= 1 u
= 5
(b)
Number of black cards in Box X
= 29 - 5
= 24
Number of black cards in both boxes
= 2 x 24
= 48
Answer(s): (a) 5; (b) 48