A bag contained gold and silver cards. There were 60% more gold cards than silver cards. When 26 cards were removed from the bag, the amount of gold cards decreased by 25% and the amount of silver cards decreased 90%. How many cards were in the bag in the end?
| |
Gold cards |
Silver cards |
Total cards |
| Before |
8 u |
5 u |
13 u |
| Change |
- 2 u |
- 4.5 u |
- 6.5 u |
| After |
6 u |
0.5 u |
6.5 u |
100% + 60% = 160%
160% =
160100 =
85Number of gold cards that were removed from the bag
= 25% x 8 u
=
25100 x 8 u
= 2 u
Number of silver cards that were removed from the bag
= 90% x 5 u
=
90100 x 5 u
= 4.5 u
Total number of cards that were removed from the bag
= 2 u + 4.5 u
= 6.5 u
6.5 u = 26
1 u = 26 ÷ 6.5 = 4
Number of cards in the bag in the end
= 6 u + 0.5
= 6.5 u
= 6.5 x 4
= 26
Answer(s): 26
