Usha had 1500 mℓ more soy milk than Fiona. After Usha gave Fiona 490 mℓ of soy milk, the ratio of Usha's soy milk to Fiona's soy milk became 5 : 3. How much soy milk did Usha have at first? Give your answer in millilitres.
|
Usha |
Fiona |
Difference |
Before |
1 u + 1500 |
1 u |
1500 |
Change |
- 490 |
+ 490 |
|
After |
1 u + 1010 |
1 u + 490 |
520 |
Comparing Usha and Fiona in the end |
5 p |
3 p |
2 p |
Volume of soy milk that Usha had in the end
= 1 u + 1500 - 490
= 1 u + 1010
Difference in the volume of soy milk between Usha and Fiona in the end
= 5 p - 3 p
= 2 p
2 p = 1010 - 490
2 p = 520
1 p = 520 ÷ 2 = 260
Volume of soy milk that Usha had at first
= 5 p + 490
= 5 x 260 + 490
= 1300 + 490
= 1790 mℓ
Answer(s): 1790 mℓ