Kylie has 25% as many erasers as Diana. Diana has 130% as many erasers as Nora. If Diana gives 24 erasers to Nora, both will then have an equal number of erasers. Find the average number of erasers the three of them have.
Kylie |
Diana |
Nora |
1x13 |
4x13 |
|
|
13x4 |
10x4 |
13 u |
52 u |
40 u |
25% =
25100 =
14130% =
130100=
1310The number of erasers that Kylie has is repeated. Make the number of erasers that Kylie has the same. LCM of 4 and 13 is 52.
|
Diana |
Nora |
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 Diana and Nora have
= 52 u + 40 u
= 92 u
After Diana gives to Nora, both of them will have the same number of erasers.
The total number of erasers that Diana and Nora have remains unchanged.
Number of erasers that each of them will have
= 92 u ÷ 2
= 46 u
Number of erasers that Diana gives to Nora
= 52 u - 46 u
= 6 u
6 u = 24
1 u = 24 ÷ 6 = 4
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 4
= 140
Answer(s): 140