16 of Xylia's money was equal to
15 of Erika's money at first. After Xylia spent $152 and Erika spent
14 of her money, Xylia had
13 as much money as Erika.
- How much money did Erika have at first?
- How much money did Erika have in the end?
| |
Xylia |
Erika |
Comparing Xylia
and Erika at first |
6x4 =
24 u |
5x4 =
20 u |
| Before |
|
4x5 =
20 u |
| Change |
- $152 |
- 1x5 =
- 5 u |
| After |
|
3x5 =
15 u |
Comparing Xylia
and Erika in the end |
1x5 =
5 u |
3x5 =
15 u |
16 Xylia's money =
15 Erika's money
Make numerators the same.
16 Xylia's money =
1x15x1 Erika's money
16 Xylia's money =
15 Erika's money
Xylia's money : Erika's money = 6 : 5
The amount that Erika had at first is repeated. Make the amount that Erika had at first the same. LCM of 5 and 4 is 20.
Amount that Xylia spent
= 24 u - 5 u
= 19 u
19 u = 152
1 u = 152 ÷ 19 = 8
(a)
Amount that Erika had at first
= 20 u
= 20 x 8
= $160
(b)
Amount that Erika had in the end
= 15 u
= 15 x 8
= $120
Answer(s): (a) $160; (b) $120
