Julie has 25% as many erasers as Tina. Tina has 130% as many erasers as Jade. If Tina gives 42 erasers to Jade, both will then have an equal number of erasers. Find the average number of erasers the three of them have.
Julie |
Tina |
Jade |
1x13 |
4x13 |
|
|
13x4 |
10x4 |
13 u |
52 u |
40 u |
25% =
25100 =
14130% =
130100=
1310The number of erasers that Julie has is repeated. Make the number of erasers that Julie has the same. LCM of 4 and 13 is 52.
|
Tina |
Jade |
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 Tina and Jade have
= 52 u + 40 u
= 92 u
After Tina gives to Jade, both of them will have the same number of erasers.
The total number of erasers that Tina and Jade have remains unchanged.
Number of erasers that each of them will have
= 92 u ÷ 2
= 46 u
Number of erasers that Tina gives to Jade
= 52 u - 46 u
= 6 u
6 u = 42
1 u = 42 ÷ 6 = 7
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 7
= 245
Answer(s): 245