Linda, Gwen and Jaslyn had 1440 erasers. Gwen won some of the erasers from Linda and as a result, Gwen's erasers increased by 20%. Jaslyn then won some erasers from Gwen and Jaslyn's erasers increased by 60%. Finally, Jaslyn lost some of her erasers to Linda and Linda's erasers increased by 25%. In the end, they realised that they each had an equal number of erasers. How many percent less did Linda have in the end than what she had at first? Correct your answer to 1 decimal place.
Linda |
Gwen |
Jaslyn |
1440 |
|
5 u |
|
- 1 u |
+ 1 u |
|
|
6 u |
|
|
|
5 p |
|
- 3 p |
+ 3 p |
|
|
8 p |
4 boxes |
|
|
+ 1 box |
|
- 1 box |
5 boxes |
|
|
1 group |
1 group |
1 group |
20% =
20100 =
1560% =
60100 =
3525% =
25100 =
14Working backwards.
3 groups = 1440
1 group = 1440 ÷ 3 = 480
1 group = 5 boxes
5 boxes = 480
1 box = 480 ÷ 5 = 96
1 group + 1 box = 8 p
480 + 96 = 8 p
8 p = 576
1 p = 576 ÷ 8 = 72
3 p = 3 x 72 = 216
1 group + 3 p = 6 u
480 + 216 = 6 u
6 u = 696
1 u = 696 ÷ 6 = 116
Number of erasers that Linda had at first
= 4 boxes + 1 u
= (4 x 96) + 116
= 384 + 116
= 500
Percent that Linda had less in the end than at first
=
500 - 480500 x 100%
≈ 4.0%
Answer(s): 4.0%