Esther had some pen collection.
12 of them were brown and the rest were black. She gave away 196 of the black pens and 50% of the brown pens. She then had
25 of her pen collection left. How many pens did Esther give away?
| |
Brown |
Black |
Total |
Total |
Before
|
1x5 =
5 u |
1x5 =
5 u |
2x5 =
10 u |
5x2 =
10 u |
Change
|
- 0.5x5 =
- 2.5 u |
- 196 |
|
- 3x2 =
- 6 u |
After
|
0.5x5 =
2.5 u |
5 u - 196 |
|
2x2 =
4 u |
The total number of pens that Esther had at first is repeated. Make the total number of pens at first the same. LCM 2 and 5 is 10.
Number of brown pens that Esther gave away
= 50% x 1 u
=
50100 x 1 u
= 0.5 u
2.5 u - 196 = 6 u
6 u - 2.5 u = 196
3.5 u = 196
1 u = 196 ÷ 3.5 = 56
Number of pens that Esther gave away
= 6 u
= 6 x 56
= 336
Answer(s): 336
