A bag contained silver and purple cards. There were 60% more silver cards than purple cards. When 55 more cards were poured into the bag, the amount of silver cards increased by 25% and the amount of purple cards increased 70%. How many cards were in the bag at first?
| |
Silver cards |
Purple cards |
Total cards |
| Before |
8 u |
5 u |
13 u |
| Change |
+ 2 u |
+ 3.5 u |
+ 5.5 u |
| After |
10 u |
8.5 u |
18.5 u |
100% + 60% = 160%
160% =
160100 =
85Number of more silver cards that were poured into the bag
= 25% x 8 u
=
25100 x 8 u
= 2 u
Number of more purple cards that were poured into the bag
= 70% x 5 u
=
70100 x 5 u
= 3.5 u
Total number of more cards that were poured into the bag
= 2 u + 3.5 u
= 5.5 u
5.5 u = 55
1 u = 55 ÷ 5.5 = 10
Number of cards in the bag at first
= 8 u + 5 u
= 13 u
= 13 x 10
= 130
Answer(s): 130
