Sarah and Penelope went shopping with a total of $192. After Sarah spent
34 of her money and Penelope spent $24, the ratio of Penelope's money became 3 times as much as Sarah's money. Find the ratio of Sarah's money to Penelope's money at first.
| |
Sarah |
Penelope |
| Before |
4 u |
3 u + 24 |
| Change |
- 3 u |
- 24 |
| After |
1 u |
|
| Comparing between Sarah and Penelope in the end |
1 u |
3 u |
Total amount that Sarah and Penelope had at first
= 4 u + 3 u + 24
= 7 u + 24
7 u + 24 = 192
4 u + 3 u = 192 - 24
7 u = 168
1 u = 168 ÷ 7 = 24
Amount that Sarah had at first
= 4 u
= 4 x 24
= $96
Amount that Penelope had at first
= 192 - 96
= $96
At first
Sarah : Penelope
96 : 96
1 : 1
Answer(s): 1 : 1
