Shannon and Jane collected seashells. Shannon gave 30% of her seashells to Jane and as a result, Jane's seashells increased by 25%. If Shannon had 77 seashells left, find the number of seashells Jane should give to Shannon in the end so that both had an equal number of seashells.
|
Shannon
|
Jane |
Comparing the change in Jane's seashells
|
Before
|
10x1 = 10 u |
|
4x3 = 12u |
Change
|
- 3x1 = - 3 u
|
+ 3x1 = + 3 u
|
+ 1x3 = + 3 u
|
After
|
7x1 = 7 u
|
|
5x3 = 15 u |
30% =
30100 =
31025% =
25100 =
14The increase in the number of seashells that Jane had is repeated. Make the increase in the number of seashells that Jane had the same. LCM of 3 and 1 = 3
7 u = 77
1 u = 77 ÷ 7 = 11
Number of seashells that Jane had more than Shannon in the end
= 15 u - 7 u
= 8 u
Number of seashells that Jane should give to Shannon so that both had an equal number of seashells in the end
= 8 u ÷ 2
= 4 u
= 4 x 11
= 44
Answer(s): 44