34 of Esther's money was equal to
13 of Marion's money at first. After Esther spent $33 and Marion spent
35 of her money, Esther had
12 as much money as Marion.
- How much money did Marion have at first?
- How much money did Marion have in the end?
| |
Esther |
Marion |
Comparing Esther
and Marion at first |
4x5 =
20 u |
9x5 =
45 u |
| Before |
|
5x9 =
45 u |
| Change |
- $33 |
- 3x9 =
- 27 u |
| After |
|
2x9 =
18 u |
Comparing Esther
and Marion in the end |
1x9 =
9 u |
2x9 =
18 u |
34 Esther's money =
13 Marion's money
Make numerators the same.
34 Esther's money =
1x33x3 Marion's money
34 Esther's money =
39 Marion's money
Esther's money : Marion's money = 4 : 9
The amount that Marion had at first is repeated. Make the amount that Marion had at first the same. LCM of 9 and 5 is 45.
Amount that Esther spent
= 20 u - 9 u
= 11 u
11 u = 33
1 u = 33 ÷ 11 = 3
(a)
Amount that Marion had at first
= 45 u
= 45 x 3
= $135
(b)
Amount that Marion had in the end
= 18 u
= 18 x 3
= $54
Answer(s): (a) $135; (b) $54
