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