Diana had some eraser collection.
12 of them were green and the rest were gold. She gave away 154 of the gold erasers and 20% of the green erasers. She then had
23 of her eraser collection left. How many erasers did Diana give away?
| |
Green |
Gold |
Total |
Total |
Before
|
1x3 =
3 u |
1x3 =
3 u |
2x3 =
6 u |
3x2 =
6 u |
Change
|
- 0.2x3 =
- 0.6 u |
- 154 |
|
- 1x2 =
- 2 u |
After
|
0.8x3 =
2.4 u |
3 u - 154 |
|
2x2 =
4 u |
The total number of erasers that Diana had at first is repeated. Make the total number of erasers at first the same. LCM 2 and 3 is 6.
Number of green erasers that Diana gave away
= 20% x 1 u
=
20100 x 1 u
= 0.2 u
0.6 u - 154 = 2 u
2 u - 0.6 u = 154
1.4 u = 154
1 u = 154 ÷ 1.4 = 110
Number of erasers that Diana gave away
= 2 u
= 2 x 110
= 220
Answer(s): 220
