Risa had 2260 mℓ more tea than Kylie. After Risa gave Kylie 450 mℓ of tea, the ratio of Risa's tea to Kylie's tea became 7 : 3. How much tea did Risa have at first? Give your answer in millilitres.
|
Risa |
Kylie |
Difference |
Before |
1 u + 2260 |
1 u |
2260 |
Change |
- 450 |
+ 450 |
|
After |
1 u + 1810 |
1 u + 450 |
1360 |
Comparing Risa and Kylie in the end |
7 p |
3 p |
4 p |
Volume of tea that Risa had in the end
= 1 u + 2260 - 450
= 1 u + 1810
Difference in the volume of tea between Risa and Kylie in the end
= 7 p - 3 p
= 4 p
4 p = 1810 - 450
4 p = 1360
1 p = 1360 ÷ 4 = 340
Volume of tea that Risa had at first
= 7 p + 450
= 7 x 340 + 450
= 2380 + 450
= 2830 mℓ
Answer(s): 2830 mℓ