There are 25% more green buttons than blue buttons in a bag. After Albert removed 40% of the green buttons and increased the number of blue buttons by 10%, there are now 126 fewer green buttons than blue buttons. Find the number of blue buttons at first.
|
Green |
Blue |
Before |
5 u |
4 u |
Change |
- 2 u |
+ 0.4 u |
After |
3 u |
4.4 u |
Number of green buttons in percentage
= 100% + 25%
= 125%
125% =
125100 =
54Number of green buttons that Albert removed
= 40% x 5 u
=
40100 x 5 u
= 2 u
Number of blue buttons that Albert increased
= 10% x 4 u
=
10100 x 4 u
= 0.4 u
Number of green buttons in the end
= 5 u - 2 u
= 3 u
Number of blue buttons in the end
= 4 u + 0.4 u
= 4.4 u
Number of fewer green buttons than blue buttons in the end
= 4.4 u - 3 u
= 1.4 u
1.4 u = 126
1 u = 126 ÷ 1.4 = 90
Number of blue buttons at first
= 4 u
= 4 x 90
= 360
Answer(s): 360