There are 67 red and grey cards in Box X. There are 51 red and purple cards in Box Y. The number of grey cards in Box X is five times the number of purple cards in Box Y. The number of red cards in both boxes is the same.
- How many purple cards are there in Box Y?
- Find the total number of red cards in both boxes.
(a)
Number of grey cards = 5 u
Number of purple cards = 1 u
Red cards + 5 u = 67 --- (1)
Red cards + 1 u = 51 --- (2)
(1) - (2)
5 u - 1 u = 67 - 51
4 u = 16
1 u = 16 ÷ 4 = 4
Number of purple cards
= 1 u
= 4
(b)
Number of red cards in Box Y
= 51 - 4
= 47
Number of red cards in both boxes
= 2 x 47
= 94
Answer(s): (a) 4; (b) 94