There are 69 brown and gold cards in Box U. There are 54 brown and silver cards in Box V. The number of gold cards in Box U is four times the number of silver cards in Box V. The number of brown cards in both boxes is the same.
- How many silver cards are there in Box V?
- Find the total number of brown cards in both boxes.
(a)
Number of gold cards = 4 u
Number of silver cards = 1 u
Brown cards + 4 u = 69 --- (1)
Brown cards + 1 u = 54 --- (2)
(1) - (2)
4 u - 1 u = 69 - 54
3 u = 15
1 u = 15 ÷ 3 = 5
Number of silver cards
= 1 u
= 5
(b)
Number of brown cards in Box V
= 54 - 5
= 49
Number of brown cards in both boxes
= 2 x 49
= 98
Answer(s): (a) 5; (b) 98