There are 78 gold and green cards in Box S. There are 58 gold and white cards in Box T. The number of green cards in Box S is three times the number of white cards in Box T. The number of gold cards in both boxes is the same.
- How many white cards are there in Box T?
- Find the total number of gold cards in both boxes.
(a)
Number of green cards = 3 u
Number of white cards = 1 u
Gold cards + 3 u = 78 --- (1)
Gold cards + 1 u = 58 --- (2)
(1) - (2)
3 u - 1 u = 78 - 58
2 u = 20
1 u = 20 ÷ 2 = 10
Number of white cards
= 1 u
= 10
(b)
Number of gold cards in Box T
= 58 - 10
= 48
Number of gold cards in both boxes
= 2 x 48
= 96
Answer(s): (a) 10; (b) 96