13 of Xandra's money was equal to
12 of Tina's money at first. After Xandra spent $55 and Tina spent
14 of her money, Xandra had
13 as much money as Tina.
- How much money did Tina have at first?
- How much money did Tina have in the end?
| |
Xandra |
Tina |
Comparing Xandra
and Tina at first |
3x2 =
6 u |
2x2 =
4 u |
| Before |
|
4x1 =
4 u |
| Change |
- $55 |
- 1x1 =
- 1 u |
| After |
|
3x1 =
3 u |
Comparing Xandra
and Tina in the end |
1x1 =
1 u |
3x1 =
3 u |
13 Xandra's money =
12 Tina's money
Make numerators the same.
13 Xandra's money =
1x12x1 Tina's money
13 Xandra's money =
12 Tina's money
Xandra's money : Tina's money = 3 : 2
The amount that Tina had at first is repeated. Make the amount that Tina had at first the same. LCM of 2 and 4 is 4.
Amount that Xandra spent
= 6 u - 1 u
= 5 u
5 u = 55
1 u = 55 ÷ 5 = 11
(a)
Amount that Tina had at first
= 4 u
= 4 x 11
= $44
(b)
Amount that Tina had in the end
= 3 u
= 3 x 11
= $33
Answer(s): (a) $44; (b) $33
