Irene had 1360 mℓ more soy milk than Nicole. After Irene gave Nicole 410 mℓ of soy milk, the ratio of Irene's soy milk to Nicole's soy milk became 7 : 4. How much soy milk did Irene have at first? Give your answer in millilitres.
|
Irene |
Nicole |
Difference |
Before |
1 u + 1360 |
1 u |
1360 |
Change |
- 410 |
+ 410 |
|
After |
1 u + 950 |
1 u + 410 |
540 |
Comparing Irene and Nicole in the end |
7 p |
4 p |
3 p |
Volume of soy milk that Irene had in the end
= 1 u + 1360 - 410
= 1 u + 950
Difference in the volume of soy milk between Irene and Nicole in the end
= 7 p - 4 p
= 3 p
3 p = 950 - 410
3 p = 540
1 p = 540 ÷ 3 = 180
Volume of soy milk that Irene had at first
= 7 p + 410
= 7 x 180 + 410
= 1260 + 410
= 1670 mℓ
Answer(s): 1670 mℓ