Natalie had 1600 mℓ more tea than Yoko. After Natalie gave Yoko 420 mℓ of tea, the ratio of Natalie's tea to Yoko's tea became 5 : 3. How much tea did Natalie have at first? Give your answer in millilitres.
|
Natalie |
Yoko |
Difference |
Before |
1 u + 1600 |
1 u |
1600 |
Change |
- 420 |
+ 420 |
|
After |
1 u + 1180 |
1 u + 420 |
760 |
Comparing Natalie and Yoko in the end |
5 p |
3 p |
2 p |
Volume of tea that Natalie had in the end
= 1 u + 1600 - 420
= 1 u + 1180
Difference in the volume of tea between Natalie and Yoko in the end
= 5 p - 3 p
= 2 p
2 p = 1180 - 420
2 p = 760
1 p = 760 ÷ 2 = 380
Volume of tea that Natalie had at first
= 5 p + 420
= 5 x 380 + 420
= 1900 + 420
= 2320 mℓ
Answer(s): 2320 mℓ