There are 66 white and pink cards in Box X. There are 52 white and purple cards in Box Y. The number of pink cards in Box X is three times the number of purple cards in Box Y. The number of white cards in both boxes is the same.
- How many purple cards are there in Box Y?
- Find the total number of white cards in both boxes.
(a)
Number of pink cards = 3 u
Number of purple cards = 1 u
White cards + 3 u = 66 --- (1)
White cards + 1 u = 52 --- (2)
(1) - (2)
3 u - 1 u = 66 - 52
2 u = 14
1 u = 14 ÷ 2 = 7
Number of purple cards
= 1 u
= 7
(b)
Number of white cards in Box Y
= 52 - 7
= 45
Number of white cards in both boxes
= 2 x 45
= 90
Answer(s): (a) 7; (b) 90