There are 61 pink and blue cards in Box H. There are 43 pink and purple cards in Box J. The number of blue cards in Box H is three times the number of purple cards in Box J. The number of pink cards in both boxes is the same.
- How many purple cards are there in Box J?
- Find the total number of pink cards in both boxes.
(a)
Number of blue cards = 3 u
Number of purple cards = 1 u
Pink cards + 3 u = 61 --- (1)
Pink cards + 1 u = 43 --- (2)
(1) - (2)
3 u - 1 u = 61 - 43
2 u = 18
1 u = 18 ÷ 2 = 9
Number of purple cards
= 1 u
= 9
(b)
Number of pink cards in Box J
= 43 - 9
= 34
Number of pink cards in both boxes
= 2 x 34
= 68
Answer(s): (a) 9; (b) 68