45 of Tiffany's money was equal to
12 of Tina's money at first. After Tiffany spent $49 and Tina spent
13 of her money, Tiffany had
12 as much money as Tina.
- How much money did Tina have at first?
- How much money did Tina have in the end?
| |
Tiffany |
Tina |
Comparing Tiffany
and Tina at first |
5x3 =
15 u |
8x3 =
24 u |
| Before |
|
3x8 =
24 u |
| Change |
- $49 |
- 1x8 =
- 8 u |
| After |
|
2x8 =
16 u |
Comparing Tiffany
and Tina in the end |
1x8 =
8 u |
2x8 =
16 u |
45 Tiffany's money =
12 Tina's money
Make numerators the same.
45 Tiffany's money =
1x42x4 Tina's money
45 Tiffany's money =
48 Tina's money
Tiffany's money : Tina's money = 5 : 8
The amount that Tina had at first is repeated. Make the amount that Tina had at first the same. LCM of 8 and 3 is 24.
Amount that Tiffany spent
= 15 u - 8 u
= 7 u
7 u = 49
1 u = 49 ÷ 7 = 7
(a)
Amount that Tina had at first
= 24 u
= 24 x 7
= $168
(b)
Amount that Tina had in the end
= 16 u
= 16 x 7
= $112
Answer(s): (a) $168; (b) $112
