45 of Tiffany's money was equal to
12 of Joelle's money at first. After Tiffany spent $119 and Joelle spent
35 of her money, Tiffany had
12 as much money as Joelle.
- How much money did Joelle have at first?
- How much money did Joelle have in the end?
| |
Tiffany |
Joelle |
Comparing Tiffany
and Joelle at first |
5x5 =
25 u |
8x5 =
40 u |
| Before |
|
5x8 =
40 u |
| Change |
- $119 |
- 3x8 =
- 24 u |
| After |
|
2x8 =
16 u |
Comparing Tiffany
and Joelle in the end |
1x8 =
8 u |
2x8 =
16 u |
45 Tiffany's money =
12 Joelle's money
Make numerators the same.
45 Tiffany's money =
1x42x4 Joelle's money
45 Tiffany's money =
48 Joelle's money
Tiffany's money : Joelle's money = 5 : 8
The amount that Joelle had at first is repeated. Make the amount that Joelle had at first the same. LCM of 8 and 5 is 40.
Amount that Tiffany spent
= 25 u - 8 u
= 17 u
17 u = 119
1 u = 119 ÷ 17 = 7
(a)
Amount that Joelle had at first
= 40 u
= 40 x 7
= $280
(b)
Amount that Joelle had in the end
= 16 u
= 16 x 7
= $112
Answer(s): (a) $280; (b) $112
