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