Gillian and Natalie went shopping with a total of $392. After Gillian spent
34 of her money and Natalie spent $56, the ratio of Natalie's money became 4 times as much as Gillian's money. Find the ratio of Gillian's money to Natalie's money at first.
| |
Gillian |
Natalie |
| Before |
4 u |
4 u + 56 |
| Change |
- 3 u |
- 56 |
| After |
1 u |
|
| Comparing between Gillian and Natalie in the end |
1 u |
4 u |
Total amount that Gillian and Natalie had at first
= 4 u + 4 u + 56
= 8 u + 56
8 u + 56 = 392
4 u + 3 u = 392 - 56
8 u = 336
1 u = 336 ÷ 8 = 42
Amount that Gillian had at first
= 4 u
= 4 x 42
= $168
Amount that Natalie had at first
= 392 - 168
= $224
At first
Gillian : Natalie
168 : 224
3 : 4
Answer(s): 3 : 4
