34 of Erika's money was equal to
13 of Wendy's money at first. After Erika spent $44 and Wendy spent
25 of her money, Erika had
13 as much money as Wendy.
- How much money did Wendy have at first?
- How much money did Wendy have in the end?
| |
Erika |
Wendy |
Comparing Erika
and Wendy at first |
4x5 =
20 u |
9x5 =
45 u |
| Before |
|
5x9 =
45 u |
| Change |
- $44 |
- 2x9 =
- 18 u |
| After |
|
3x9 =
27 u |
Comparing Erika
and Wendy in the end |
1x9 =
9 u |
3x9 =
27 u |
34 Erika's money =
13 Wendy's money
Make numerators the same.
34 Erika's money =
1x33x3 Wendy's money
34 Erika's money =
39 Wendy's money
Erika's money : Wendy's money = 4 : 9
The amount that Wendy had at first is repeated. Make the amount that Wendy had at first the same. LCM of 9 and 5 is 45.
Amount that Erika spent
= 20 u - 9 u
= 11 u
11 u = 44
1 u = 44 ÷ 11 = 4
(a)
Amount that Wendy had at first
= 45 u
= 45 x 4
= $180
(b)
Amount that Wendy had in the end
= 27 u
= 27 x 4
= $108
Answer(s): (a) $180; (b) $108
