Jade and Jane collected postcards. Jade gave 60% of her postcards to Jane and as a result, Jane's postcards increased by 20%. If Jade had 20 postcards left, find the number of postcards Jane should give to Jade in the end so that both had an equal number of postcards.
|
Jade
|
Jane |
Comparing the change in Jane's postcards
|
Before
|
5x1 = 5 u |
|
5x3 = 15u |
Change
|
- 3x1 = - 3 u
|
+ 3x1 = + 3 u
|
+ 1x3 = + 3 u
|
After
|
2x1 = 2 u
|
|
6x3 = 18 u |
60% =
60100 =
3520% =
20100 =
15The increase in the number of postcards that Jane had is repeated. Make the increase in the number of postcards that Jane had the same. LCM of 3 and 1 = 3
2 u = 20
1 u = 20 ÷ 2 = 10
Number of postcards that Jane had more than Jade in the end
= 18 u - 2 u
= 16 u
Number of postcards that Jane should give to Jade so that both had an equal number of postcards in the end
= 16 u ÷ 2
= 8 u
= 8 x 10
= 80
Answer(s): 80