There are 44 black and white cards in Box C. There are 32 black and gold cards in Box D. The number of white cards in Box C is five times the number of gold cards in Box D. The number of black cards in both boxes is the same.
- How many gold cards are there in Box D?
- Find the total number of black cards in both boxes.
(a)
Number of white cards = 5 u
Number of gold cards = 1 u
Black cards + 5 u = 44 --- (1)
Black cards + 1 u = 32 --- (2)
(1) - (2)
5 u - 1 u = 44 - 32
4 u = 12
1 u = 12 ÷ 4 = 3
Number of gold cards
= 1 u
= 3
(b)
Number of black cards in Box D
= 32 - 3
= 29
Number of black cards in both boxes
= 2 x 29
= 58
Answer(s): (a) 3; (b) 58