35 of Olivia's money was equal to
13 of Jen's money at first. After Olivia spent $22 and Jen spent
14 of her money, Olivia had
13 as much money as Jen.
- How much money did Jen have at first?
- How much money did Jen have in the end?
| |
Olivia |
Jen |
Comparing Olivia
and Jen at first |
5x4 =
20 u |
9x4 =
36 u |
| Before |
|
4x9 =
36 u |
| Change |
- $22 |
- 1x9 =
- 9 u |
| After |
|
3x9 =
27 u |
Comparing Olivia
and Jen in the end |
1x9 =
9 u |
3x9 =
27 u |
35 Olivia's money =
13 Jen's money
Make numerators the same.
35 Olivia's money =
1x33x3 Jen's money
35 Olivia's money =
39 Jen's money
Olivia's money : Jen's money = 5 : 9
The amount that Jen had at first is repeated. Make the amount that Jen had at first the same. LCM of 9 and 4 is 36.
Amount that Olivia spent
= 20 u - 9 u
= 11 u
11 u = 22
1 u = 22 ÷ 11 = 2
(a)
Amount that Jen had at first
= 36 u
= 36 x 2
= $72
(b)
Amount that Jen had in the end
= 27 u
= 27 x 2
= $54
Answer(s): (a) $72; (b) $54
