Xylium had some sticker collection.
35 of them were gold and the rest were purple. She gave away 117 of the purple stickers and 50% of the gold stickers. She then had
23 of her sticker collection left. How many stickers did Xylium give away?
| |
Gold |
Purple |
Total |
Total |
Before
|
3x3 =
9 u |
2x3 =
6 u |
5x3 =
15 u |
3x5 =
15 u |
Change
|
- 1.5x3 =
- 4.5 u |
- 117 |
|
- 1x5 =
- 5 u |
After
|
1.5x3 =
4.5 u |
6 u - 117 |
|
2x5 =
10 u |
The total number of stickers that Xylium had at first is repeated. Make the total number of stickers at first the same. LCM 5 and 3 is 15.
Number of gold stickers that Xylium gave away
= 50% x 3 u
=
50100 x 3 u
= 1.5 u
4.5 u - 117 = 5 u
5 u - 4.5 u = 117
0.5 u = 117
1 u = 117 ÷ 0.5 = 234
Number of stickers that Xylium gave away
= 5 u
= 5 x 234
= 1170
Answer(s): 1170
