Jean had some eraser collection.
16 of them were purple and the rest were pink. She gave away 138 of the pink erasers and 50% of the purple erasers. She then had
23 of her eraser collection left. How many erasers did Jean give away?
| |
Purple |
Pink |
Total |
Total |
Before
|
1x1 =
1 u |
5x1 =
5 u |
6x1 =
6 u |
3x2 =
6 u |
Change
|
- 0.5x1 =
- 0.5 u |
- 138 |
|
- 1x2 =
- 2 u |
After
|
0.5x1 =
0.5 u |
5 u - 138 |
|
2x2 =
4 u |
The total number of erasers that Jean had at first is repeated. Make the total number of erasers at first the same. LCM 6 and 3 is 6.
Number of purple erasers that Jean gave away
= 50% x 1 u
=
50100 x 1 u
= 0.5 u
0.5 u - 138 = 2 u
2 u - 0.5 u = 138
1.5 u = 138
1 u = 138 ÷ 1.5 = 92
Number of erasers that Jean gave away
= 2 u
= 2 x 92
= 184
Answer(s): 184
