Jade had 1500 mℓ more tea than Olivia. After Jade gave Olivia 450 mℓ of tea, the ratio of Jade's tea to Olivia's tea became 7 : 4. How much tea did Jade have at first? Give your answer in millilitres.
|
Jade |
Olivia |
Difference |
Before |
1 u + 1500 |
1 u |
1500 |
Change |
- 450 |
+ 450 |
|
After |
1 u + 1050 |
1 u + 450 |
600 |
Comparing Jade and Olivia in the end |
7 p |
4 p |
3 p |
Volume of tea that Jade had in the end
= 1 u + 1500 - 450
= 1 u + 1050
Difference in the volume of tea between Jade and Olivia in the end
= 7 p - 4 p
= 3 p
3 p = 1050 - 450
3 p = 600
1 p = 600 ÷ 3 = 200
Volume of tea that Jade had at first
= 7 p + 450
= 7 x 200 + 450
= 1400 + 450
= 1850 mℓ
Answer(s): 1850 mℓ