Esther had 1860 mℓ more soy milk than Roshel. After Esther gave Roshel 570 mℓ of soy milk, the ratio of Esther's soy milk to Roshel's soy milk became 5 : 3. How much soy milk did Esther have at first? Give your answer in millilitres.
| |
Esther |
Roshel |
Difference |
| Before |
1 u + 1860 |
1 u |
1860 |
| Change |
- 570 |
+ 570 |
|
| After |
1 u + 1290 |
1 u + 570 |
720 |
Comparing Esther and
Roshel in the end |
5 p |
3 p |
2 p |
Volume of soy milk that Esther had in the end
= 1 u + 1860 - 570
= 1 u + 1290
Difference in the volume of soy milk between Esther and Roshel in the end
= 5 p - 3 p
= 2 p
2 p = 1290 - 570
2 p = 720
1 p = 720 ÷ 2 = 360
Volume of soy milk that Esther had at first
= 5 p + 570
= 5 x 360 + 570
= 1800 + 570
= 2370 mℓ
Answer(s): 2370 mℓ
