There are 58 yellow and gold cards in Box A. There are 46 yellow and brown cards in Box B. The number of gold cards in Box A is three times the number of brown cards in Box B. The number of yellow cards in both boxes is the same.
- How many brown cards are there in Box B?
- Find the total number of yellow cards in both boxes.
(a)
Number of gold cards = 3 u
Number of brown cards = 1 u
Yellow cards + 3 u = 58 --- (1)
Yellow cards + 1 u = 46 --- (2)
(1) - (2)
3 u - 1 u = 58 - 46
2 u = 12
1 u = 12 ÷ 2 = 6
Number of brown cards
= 1 u
= 6
(b)
Number of yellow cards in Box B
= 46 - 6
= 40
Number of yellow cards in both boxes
= 2 x 40
= 80
Answer(s): (a) 6; (b) 80