16 of Olivia's money was equal to
15 of Yoko's money at first. After Olivia spent $143 and Yoko spent
13 of her money, Olivia had
12 as much money as Yoko.
- How much money did Yoko have at first?
- How much money did Yoko have in the end?
| |
Olivia |
Yoko |
Comparing Olivia
and Yoko at first |
6x3 =
18 u |
5x3 =
15 u |
| Before |
|
3x5 =
15 u |
| Change |
- $143 |
- 1x5 =
- 5 u |
| After |
|
2x5 =
10 u |
Comparing Olivia
and Yoko in the end |
1x5 =
5 u |
2x5 =
10 u |
16 Olivia's money =
15 Yoko's money
Make numerators the same.
16 Olivia's money =
1x15x1 Yoko's money
16 Olivia's money =
15 Yoko's money
Olivia's money : Yoko's money = 6 : 5
The amount that Yoko had at first is repeated. Make the amount that Yoko had at first the same. LCM of 5 and 3 is 15.
Amount that Olivia spent
= 18 u - 5 u
= 13 u
13 u = 143
1 u = 143 ÷ 13 = 11
(a)
Amount that Yoko had at first
= 15 u
= 15 x 11
= $165
(b)
Amount that Yoko had in the end
= 10 u
= 10 x 11
= $110
Answer(s): (a) $165; (b) $110
