There are 25% more blue buttons than silver buttons in a bag. After Jenson removed 40% of the blue buttons and increased the number of silver buttons by 20%, there are now 90 fewer blue buttons than silver buttons. Find the number of silver buttons at first.
|
Blue |
Silver |
Before |
5 u |
4 u |
Change |
- 2 u |
+ 0.8 u |
After |
3 u |
4.8 u |
Number of blue buttons in percentage
= 100% + 25%
= 125%
125% =
125100 =
54Number of blue buttons that Jenson removed
= 40% x 5 u
=
40100 x 5 u
= 2 u
Number of silver buttons that Jenson increased
= 20% x 4 u
=
20100 x 4 u
= 0.8 u
Number of blue buttons in the end
= 5 u - 2 u
= 3 u
Number of silver buttons in the end
= 4 u + 0.8 u
= 4.8 u
Number of fewer blue buttons than silver buttons in the end
= 4.8 u - 3 u
= 1.8 u
1.8 u = 90
1 u = 90 ÷ 1.8 = 50
Number of silver buttons at first
= 4 u
= 4 x 50
= 200
Answer(s): 200