Emma has 25% as many erasers as Xuan. Xuan has 130% as many erasers as Pamela. If Xuan gives 48 erasers to Pamela, both will then have an equal number of erasers. Find the average number of erasers the three of them have.
Emma |
Xuan |
Pamela |
1x13 |
4x13 |
|
|
13x4 |
10x4 |
13 u |
52 u |
40 u |
25% =
25100 =
14130% =
130100=
1310The number of erasers that Emma has is repeated. Make the number of erasers that Emma has the same. LCM of 4 and 13 is 52.
|
Xuan |
Pamela |
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 Xuan and Pamela have
= 52 u + 40 u
= 92 u
After Xuan gives to Pamela, both of them will have the same number of erasers.
The total number of erasers that Xuan and Pamela have remains unchanged.
Number of erasers that each of them will have
= 92 u ÷ 2
= 46 u
Number of erasers that Xuan gives to Pamela
= 52 u - 46 u
= 6 u
6 u = 48
1 u = 48 ÷ 6 = 8
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 8
= 280
Answer(s): 280