Raeann has 25% as many buttons as Linda. Linda has 130% as many buttons as Yen. If Linda gives 42 buttons to Yen, both will then have an equal number of buttons. Find the average number of buttons the three of them have.
Raeann |
Linda |
Yen |
1x13 |
4x13 |
|
|
13x4 |
10x4 |
13 u |
52 u |
40 u |
25% =
25100 =
14130% =
130100=
1310The number of buttons that Raeann has is repeated. Make the number of buttons that Raeann has the same. LCM of 4 and 13 is 52.
|
Linda |
Yen |
Total |
Before |
52 u |
40 u |
92 u |
Change |
- 6 u |
+ 6 u |
|
After |
46 u |
46 u |
92 u |
Total number of buttons that Linda and Yen have
= 52 u + 40 u
= 92 u
After Linda gives to Yen, both of them will have the same number of buttons.
The total number of buttons that Linda and Yen have remains unchanged.
Number of buttons that each of them will have
= 92 u ÷ 2
= 46 u
Number of buttons that Linda gives to Yen
= 52 u - 46 u
= 6 u
6 u = 42
1 u = 42 ÷ 6 = 7
Total number of buttons that three of them have
= 92 u + 13 u
= 105 u
Average number of buttons that each of them have
= 105 u ÷ 3
= 35 u
= 35 x 7
= 245
Answer(s): 245