Rachel had 1740 mℓ more tea than Gem. After Rachel gave Gem 450 mℓ of tea, the ratio of Rachel's tea to Gem's tea became 7 : 4. How much tea did Rachel have at first? Give your answer in millilitres.
|
Rachel |
Gem |
Difference |
Before |
1 u + 1740 |
1 u |
1740 |
Change |
- 450 |
+ 450 |
|
After |
1 u + 1290 |
1 u + 450 |
840 |
Comparing Rachel and Gem in the end |
7 p |
4 p |
3 p |
Volume of tea that Rachel had in the end
= 1 u + 1740 - 450
= 1 u + 1290
Difference in the volume of tea between Rachel and Gem in the end
= 7 p - 4 p
= 3 p
3 p = 1290 - 450
3 p = 840
1 p = 840 ÷ 3 = 280
Volume of tea that Rachel had at first
= 7 p + 450
= 7 x 280 + 450
= 1960 + 450
= 2410 mℓ
Answer(s): 2410 mℓ