There are 25% more gold stamps than green stamps in a bag. After Ryan removed 20% of the gold stamps and increased the number of green stamps by 10%, there are now 16 fewer gold stamps than green stamps. Find the number of green stamps at first.
|
Gold |
Green |
Before |
5 u |
4 u |
Change |
- 1 u |
+ 0.4 u |
After |
4 u |
4.4 u |
Number of gold stamps in percentage
= 100% + 25%
= 125%
125% =
125100 =
54Number of gold stamps that Ryan removed
= 20% x 5 u
=
20100 x 5 u
= 1 u
Number of green stamps that Ryan increased
= 10% x 4 u
=
10100 x 4 u
= 0.4 u
Number of gold stamps in the end
= 5 u - 1 u
= 4 u
Number of green stamps in the end
= 4 u + 0.4 u
= 4.4 u
Number of fewer gold stamps than green stamps in the end
= 4.4 u - 4 u
= 0.4 u
0.4 u = 16
1 u = 16 ÷ 0.4 = 40
Number of green stamps at first
= 4 u
= 4 x 40
= 160
Answer(s): 160