35 of Esther's money was equal to
13 of Yoko's money at first. After Esther spent $64 and Yoko spent
25 of her money, Esther had
13 as much money as Yoko.
- How much money did Yoko have at first?
- How much money did Yoko have in the end?
| |
Esther |
Yoko |
Comparing Esther
and Yoko at first |
5x5 =
25 u |
9x5 =
45 u |
| Before |
|
5x9 =
45 u |
| Change |
- $64 |
- 2x9 =
- 18 u |
| After |
|
3x9 =
27 u |
Comparing Esther
and Yoko in the end |
1x9 =
9 u |
3x9 =
27 u |
35 Esther's money =
13 Yoko's money
Make numerators the same.
35 Esther's money =
1x33x3 Yoko's money
35 Esther's money =
39 Yoko's money
Esther's money : Yoko's money = 5 : 9
The amount that Yoko had at first is repeated. Make the amount that Yoko had at first the same. LCM of 9 and 5 is 45.
Amount that Esther spent
= 25 u - 9 u
= 16 u
16 u = 64
1 u = 64 ÷ 16 = 4
(a)
Amount that Yoko had at first
= 45 u
= 45 x 4
= $180
(b)
Amount that Yoko had in the end
= 27 u
= 27 x 4
= $108
Answer(s): (a) $180; (b) $108
