Jen has 25% as many erasers as Linda. Linda has 130% as many erasers as Cindy. If Linda gives 30 erasers to Cindy, both will then have an equal number of erasers. Find the average number of erasers the three of them have.
Jen |
Linda |
Cindy |
1x13 |
4x13 |
|
|
13x4 |
10x4 |
13 u |
52 u |
40 u |
25% =
25100 =
14130% =
130100=
1310The number of erasers that Jen has is repeated. Make the number of erasers that Jen has the same. LCM of 4 and 13 is 52.
|
Linda |
Cindy |
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 Linda and Cindy have
= 52 u + 40 u
= 92 u
After Linda gives to Cindy, both of them will have the same number of erasers.
The total number of erasers that Linda and Cindy have remains unchanged.
Number of erasers that each of them will have
= 92 u ÷ 2
= 46 u
Number of erasers that Linda gives to Cindy
= 52 u - 46 u
= 6 u
6 u = 30
1 u = 30 ÷ 6 = 5
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 5
= 175
Answer(s): 175