A basket contained grey and red buttons. There were 60% more grey buttons than red buttons. When 55 buttons were removed from the basket, the amount of grey buttons decreased by 25% and the amount of red buttons decreased 70%. How many buttons were in the basket in the end?
|
Grey buttons |
Red 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 grey buttons that were removed from the basket
= 25% x 8 u
=
25100 x 8 u
= 2 u
Number of red buttons that were removed from the basket
= 70% x 5 u
=
70100 x 5 u
= 3.5 u
Total number of buttons that were removed from the basket
= 2 u + 3.5 u
= 5.5 u
5.5 u = 55
1 u = 55 ÷ 5.5 = 10
Number of buttons in the basket in the end
= 6 u + 1.5
= 7.5 u
= 7.5 x 10
= 75
Answer(s): 75