PSLE At first, Gwen had an equal number of gold and purple stickers . She gave away
34 of her gold stickers and some purple stickers. In the end, she was left with
14 of her stickers. What fraction of the purple stickers did Gwen give away?
|
Gold |
Purple |
Total |
Comparing gold stickers and purple stickers at first |
1x4x1 = 4 u |
1x4x1 = 4 u |
2x4x1 = 8 u |
Before |
4x1 = 4 u |
4 u |
4x2 = 8 u |
Change |
- 3x1 = - 3 u |
- 3 u |
- 1x2 = - 6 u |
After |
1x1 = 1 u |
1 u |
3x2 = 2 u |
After
1x1 =
1 u1 u
3x2 =
2 uThe number of gold stickers at first is repeated. Make the number of gold stickers the first the same. LCM of 4 and 1 is 4.
The total number of stickers at first is repeated. Make the total number of stickers at first the same. LCM of 8 and 4 is 8.
Number of purple stickers that Gwen was left with
= 2 u - 1 u
= 1 u
Number of purple stickers that Gwen gave away
= 4 u - 1 u
= 3 u
Fraction of the purple stickers that Gwen gave away =
34 Answer(s):
34