There are 81 red and pink cards in Box N. There are 53 red and silver cards in Box P. The number of pink cards in Box N is five times the number of silver cards in Box P. The number of red cards in both boxes is the same.
- How many silver cards are there in Box P?
- Find the total number of red cards in both boxes.
(a)
Number of pink cards = 5 u
Number of silver cards = 1 u
Red cards + 5 u = 81 --- (1)
Red cards + 1 u = 53 --- (2)
(1) - (2)
5 u - 1 u = 81 - 53
4 u = 28
1 u = 28 ÷ 4 = 7
Number of silver cards
= 1 u
= 7
(b)
Number of red cards in Box P
= 53 - 7
= 46
Number of red cards in both boxes
= 2 x 46
= 92
Answer(s): (a) 7; (b) 92