A box contained yellow and black buttons. There were 60% more yellow buttons than black buttons. When 110 buttons were removed from the box, the amount of yellow buttons decreased by 25% and the amount of black buttons decreased 70%. How many buttons were in the box in the end?
| |
Yellow buttons |
Black buttons |
Total buttons |
| Before |
8 u |
5 u |
13 u |
| Change |
- 2 u |
- 3.5 u |
- 5.5 u |
| After |
6 u |
1.5 u |
7.5 u |
100% + 60% = 160%
160% =
160100 =
85Number of yellow buttons that were removed from the box
= 25% x 8 u
=
25100 x 8 u
= 2 u
Number of black buttons that were removed from the box
= 70% x 5 u
=
70100 x 5 u
= 3.5 u
Total number of buttons that were removed from the box
= 2 u + 3.5 u
= 5.5 u
5.5 u = 110
1 u = 110 ÷ 5.5 = 20
Number of buttons in the box in the end
= 6 u + 1.5
= 7.5 u
= 7.5 x 20
= 150
Answer(s): 150
