Penelope and Opal went shopping with a total of $551. After Penelope spent
56 of her money and Opal spent $29, the ratio of Opal's money became 3 times as much as Penelope's money. Find the ratio of Penelope's money to Opal's money at first.
| |
Penelope |
Opal |
| Before |
6 u |
3 u + 29 |
| Change |
- 5 u |
- 29 |
| After |
1 u |
|
| Comparing between Penelope and Opal in the end |
1 u |
3 u |
Total amount that Penelope and Opal had at first
= 6 u + 3 u + 29
= 9 u + 29
9 u + 29 = 551
6 u + 5 u = 551 - 29
9 u = 522
1 u = 522 ÷ 9 = 58
Amount that Penelope had at first
= 6 u
= 6 x 58
= $348
Amount that Opal had at first
= 551 - 348
= $203
At first
Penelope : Opal
348 : 203
12 : 7
Answer(s): 12 : 7
