Opal had some sticker collection.
13 of them were purple and the rest were gold. She gave away 110 of the gold stickers and 30% of the purple stickers. She then had
16 of her sticker collection left. How many stickers did Opal give away?
|
Purple |
Gold |
Total |
Total |
Before
|
1x2 = 2 u |
2x2 = 4 u |
3x2 = 6 u |
6x1 = 6 u |
Change
|
- 0.3x2 = - 0.6 u |
- 110 |
|
- 5x1 = - 5 u |
After
|
0.7x2 = 1.4 u |
4 u - 110 |
|
1x1 = 1 u |
The total number of stickers that Opal had at first is repeated. Make the total number of stickers at first the same. LCM 3 and 6 is 6.
Number of purple stickers that Opal gave away
= 30% x 1 u
=
30100 x 1 u
= 0.3 u
0.6 u - 110 = 5 u
5 u - 0.6 u = 110
4.4 u = 110
1 u = 110 ÷ 4.4 = 25
Number of stickers that Opal gave away
= 5 u
= 5 x 25
= 125
Answer(s): 125