Elyse has 25% as many erasers as Jane. Jane has 130% as many erasers as Gabby. If Jane gives 60 erasers to Gabby, both will then have an equal number of erasers. Find the average number of erasers the three of them have.
Elyse |
Jane |
Gabby |
1x13 |
4x13 |
|
|
13x4 |
10x4 |
13 u |
52 u |
40 u |
25% =
25100 =
14130% =
130100=
1310The number of erasers that Elyse has is repeated. Make the number of erasers that Elyse has the same. LCM of 4 and 13 is 52.
|
Jane |
Gabby |
Total |
Before |
52 u |
40 u |
92 u |
Change |
- 6 u |
+ 6 u |
|
After |
46 u |
46 u |
92 u |
Total number of erasers that Jane and Gabby have
= 52 u + 40 u
= 92 u
After Jane gives to Gabby, both of them will have the same number of erasers.
The total number of erasers that Jane and Gabby have remains unchanged.
Number of erasers that each of them will have
= 92 u ÷ 2
= 46 u
Number of erasers that Jane gives to Gabby
= 52 u - 46 u
= 6 u
6 u = 60
1 u = 60 ÷ 6 = 10
Total number of erasers that three of them have
= 92 u + 13 u
= 105 u
Average number of erasers that each of them have
= 105 u ÷ 3
= 35 u
= 35 x 10
= 350
Answer(s): 350