Kathy had 1460 mℓ more soy milk than Nicole. After Kathy gave Nicole 410 mℓ of soy milk, the ratio of Kathy's soy milk to Nicole's soy milk became 5 : 3. How much soy milk did Kathy have at first? Give your answer in millilitres.
| |
Kathy |
Nicole |
Difference |
| Before |
1 u + 1460 |
1 u |
1460 |
| Change |
- 410 |
+ 410 |
|
| After |
1 u + 1050 |
1 u + 410 |
640 |
Comparing Kathy and
Nicole in the end |
5 p |
3 p |
2 p |
Volume of soy milk that Kathy had in the end
= 1 u + 1460 - 410
= 1 u + 1050
Difference in the volume of soy milk between Kathy and Nicole in the end
= 5 p - 3 p
= 2 p
2 p = 1050 - 410
2 p = 640
1 p = 640 ÷ 2 = 320
Volume of soy milk that Kathy had at first
= 5 p + 410
= 5 x 320 + 410
= 1600 + 410
= 2010 mℓ
Answer(s): 2010 mℓ
