Erika had 1720 mℓ more tea than Jaslyn. After Erika gave Jaslyn 400 mℓ of tea, the ratio of Erika's tea to Jaslyn's tea became 7 : 3. How much tea did Erika have at first? Give your answer in millilitres.
|
Erika |
Jaslyn |
Difference |
Before |
1 u + 1720 |
1 u |
1720 |
Change |
- 400 |
+ 400 |
|
After |
1 u + 1320 |
1 u + 400 |
920 |
Comparing Erika and Jaslyn in the end |
7 p |
3 p |
4 p |
Volume of tea that Erika had in the end
= 1 u + 1720 - 400
= 1 u + 1320
Difference in the volume of tea between Erika and Jaslyn in the end
= 7 p - 3 p
= 4 p
4 p = 1320 - 400
4 p = 920
1 p = 920 ÷ 4 = 230
Volume of tea that Erika had at first
= 7 p + 400
= 7 x 230 + 400
= 1610 + 400
= 2010 mℓ
Answer(s): 2010 mℓ