Sabrina, Nora and Linda shared $525 among themselves. Nora and Linda shared
25 of the money equally. After Nora gave away some of her money to Sabrina, Linda had 3 times as much money as Nora. How much money did Nora give to Sabrina?
|
Nora |
Linda |
Sabrina |
Total |
Before |
1x3 = 3 u |
1x3 = 3 u |
3x3 = 9 u |
15 u |
Change |
- 2 u |
No change |
+ 2 u |
|
After |
1x1 = 1 u |
3x1 = 3 u |
11 u |
15 u |
Nora and Linda shared
25 of the money equally.
Fraction of the money that Nora and Linda each had
=
25 ÷ 2
=
25 x
12 =
15 The amount that Linda had remains unchanged. The amount that Linda had is the unchanged quantity. Make the amount that Linda had the same. LCM of 1 and 3 is 3.
The amount that Nora and Linda had at first is the same.
Total amount that they had at first
= 3 u + 3 u + 9 u
= 15 u
15 u = 525
1 u = 525 ÷ 15 = 35
Amount that Nora gave to Sabrina
= 3 u - 1 u
= 2 u
= 2 x 35
= $70
Answer(s): $70