The ratio of Sabrina's money to Jaslyn's money was 1 : 3. After Sabrina spent thrice as much as Jaslyn, Sabrina and Jaslyn had $5 and $47 left respectively. Find the amount of money each of the girls have at first.
- Sabrina
- Jaslyn
| |
Make u the same
(1)x3 = (3) |
Sabrina
(1) |
Jaslyn
(2) |
| Before |
3 u |
1 u |
3 u |
| Change |
- 9 p |
- 3 p |
- 1 p |
| After |
15 |
5 |
47 |
(a)
1 u - 3 p = 5
3 u = 5 + 3 p --- (1)
3 u - 1 p = 47
3 u = 47 + 1 p --- (2)
(1)
x3
3 u = 15 + 9 p --- (3)
(3) = (2)
15 + 9 p = 47 + 1 p
9 p - 1 p = 47 - 15
8 p = 32
1 p = 32 ÷ 8 = 4
Amount that Sabrina had at first
= 5 + 3 p
= 5 + 3 x 4
= 5 + 12
= $17
(b)
Amount that Jaslyn had at first
= 15 + 9 p
= 15 + 9 x 4
= 15 + 36
= $51
Answer(s): (a) $17; (b) $51
