Yen has 25% as many erasers as Jen. Jen has 130% as many erasers as Min. If Jen gives 60 erasers to Min, both will then have an equal number of erasers. Find the average number of erasers the three of them have.
Yen |
Jen |
Min |
1x13 |
4x13 |
|
|
13x4 |
10x4 |
13 u |
52 u |
40 u |
25% =
25100 =
14130% =
130100=
1310The number of erasers that Yen has is repeated. Make the number of erasers that Yen has the same. LCM of 4 and 13 is 52.
|
Jen |
Min |
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 Jen and Min have
= 52 u + 40 u
= 92 u
After Jen gives to Min, both of them will have the same number of erasers.
The total number of erasers that Jen and Min have remains unchanged.
Number of erasers that each of them will have
= 92 u ÷ 2
= 46 u
Number of erasers that Jen gives to Min
= 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