Elyse had some sticker collection.
12 of them were black and the rest were green. She gave away 127 of the green stickers and 50% of the black stickers. She then had
23 of her sticker collection left. How many stickers did Elyse give away?
|
Black |
Green |
Total |
Total |
Before
|
1x3 = 3 u |
1x3 = 3 u |
2x3 = 6 u |
3x2 = 6 u |
Change
|
- 0.5x3 = - 1.5 u |
- 127 |
|
- 1x2 = - 2 u |
After
|
0.5x3 = 1.5 u |
3 u - 127 |
|
2x2 = 4 u |
The total number of stickers that Elyse had at first is repeated. Make the total number of stickers at first the same. LCM 2 and 3 is 6.
Number of black stickers that Elyse gave away
= 50% x 1 u
=
50100 x 1 u
= 0.5 u
1.5 u - 127 = 2 u
2 u - 1.5 u = 127
0.5 u = 127
1 u = 127 ÷ 0.5 = 254
Number of stickers that Elyse gave away
= 2 u
= 2 x 254
= 508
Answer(s): 508