Cindy has 25% as many marbles as Yen. Yen has 130% as many marbles as Wendy. If Yen gives 24 marbles to Wendy, both will then have an equal number of marbles. Find the average number of marbles the three of them have.
Cindy |
Yen |
Wendy |
1x13 |
4x13 |
|
|
13x4 |
10x4 |
13 u |
52 u |
40 u |
25% =
25100 =
14130% =
130100=
1310The number of marbles that Cindy has is repeated. Make the number of marbles that Cindy has the same. LCM of 4 and 13 is 52.
|
Yen |
Wendy |
Total |
Before |
52 u |
40 u |
92 u |
Change |
- 6 u |
+ 6 u |
|
After |
46 u |
46 u |
92 u |
Total number of marbles that Yen and Wendy have
= 52 u + 40 u
= 92 u
After Yen gives to Wendy, both of them will have the same number of marbles.
The total number of marbles that Yen and Wendy have remains unchanged.
Number of marbles that each of them will have
= 92 u ÷ 2
= 46 u
Number of marbles that Yen gives to Wendy
= 52 u - 46 u
= 6 u
6 u = 24
1 u = 24 ÷ 6 = 4
Total number of marbles that three of them have
= 92 u + 13 u
= 105 u
Average number of marbles that each of them have
= 105 u ÷ 3
= 35 u
= 35 x 4
= 140
Answer(s): 140