Esther had 1740 mℓ more soy milk than Jade. After Esther gave Jade 520 mℓ of soy milk, the ratio of Esther's soy milk to Jade's soy milk became 5 : 3. How much soy milk did Esther have at first? Give your answer in millilitres.
|
Esther |
Jade |
Difference |
Before |
1 u + 1740 |
1 u |
1740 |
Change |
- 520 |
+ 520 |
|
After |
1 u + 1220 |
1 u + 520 |
700 |
Comparing Esther and Jade in the end |
5 p |
3 p |
2 p |
Volume of soy milk that Esther had in the end
= 1 u + 1740 - 520
= 1 u + 1220
Difference in the volume of soy milk between Esther and Jade in the end
= 5 p - 3 p
= 2 p
2 p = 1220 - 520
2 p = 700
1 p = 700 ÷ 2 = 350
Volume of soy milk that Esther had at first
= 5 p + 520
= 5 x 350 + 520
= 1750 + 520
= 2270 mℓ
Answer(s): 2270 mℓ