Risa, Joelle and Esther shared $270 among themselves. Joelle and Esther shared
29 of the money equally. After Joelle gave away some of her money to Risa, Esther had 3 times as much money as Joelle. How much money did Joelle give to Risa?
|
Joelle |
Esther |
Risa |
Total |
Before |
1x3 = 3 u |
1x3 = 3 u |
7x3 = 21 u |
27 u |
Change |
- 2 u |
No change |
+ 2 u |
|
After |
1x1 = 1 u |
3x1 = 3 u |
23 u |
27 u |
Joelle and Esther shared
29 of the money equally.
Fraction of the money that Joelle and Esther each had
=
29 ÷ 2
=
29 x
12 =
19 The amount that Esther had remains unchanged. The amount that Esther had is the unchanged quantity. Make the amount that Esther had the same. LCM of 1 and 3 is 3.
The amount that Joelle and Esther had at first is the same.
Total amount that they had at first
= 3 u + 3 u + 21 u
= 27 u
27 u = 270
1 u = 270 ÷ 27 = 10
Amount that Joelle gave to Risa
= 3 u - 1 u
= 2 u
= 2 x 10
= $20
Answer(s): $20