There are 64 white and green cards in Box R. There are 44 white and grey cards in Box S. The number of green cards in Box R is five times the number of grey cards in Box S. The number of white cards in both boxes is the same.
- How many grey cards are there in Box S?
- Find the total number of white cards in both boxes.
(a)
Number of green cards = 5 u
Number of grey cards = 1 u
White cards + 5 u = 64 --- (1)
White cards + 1 u = 44 --- (2)
(1) - (2)
5 u - 1 u = 64 - 44
4 u = 20
1 u = 20 ÷ 4 = 5
Number of grey cards
= 1 u
= 5
(b)
Number of white cards in Box S
= 44 - 5
= 39
Number of white cards in both boxes
= 2 x 39
= 78
Answer(s): (a) 5; (b) 78