A bag contained red and yellow marbles. There were 60% more red marbles than yellow marbles. When 65 marbles were removed from the bag, the amount of red marbles decreased by 25% and the amount of yellow marbles decreased 90%. How many marbles were in the bag in the end?
|
Red marbles |
Yellow marbles |
Total marbles |
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 red marbles that were removed from the bag
= 25% x 8 u
=
25100 x 8 u
= 2 u
Number of yellow marbles that were removed from the bag
= 90% x 5 u
=
90100 x 5 u
= 4.5 u
Total number of marbles that were removed from the bag
= 2 u + 4.5 u
= 6.5 u
6.5 u = 65
1 u = 65 ÷ 6.5 = 10
Number of marbles in the bag in the end
= 6 u + 0.5
= 6.5 u
= 6.5 x 10
= 65
Answer(s): 65