Hazel had 1760 mℓ more tea than Jen. After Hazel gave Jen 540 mℓ of tea, the ratio of Hazel's tea to Jen's tea became 5 : 3. How much tea did Hazel have at first? Give your answer in millilitres.
| |
Hazel |
Jen |
Difference |
| Before |
1 u + 1760 |
1 u |
1760 |
| Change |
- 540 |
+ 540 |
|
| After |
1 u + 1220 |
1 u + 540 |
680 |
Comparing Hazel and
Jen in the end |
5 p |
3 p |
2 p |
Volume of tea that Hazel had in the end
= 1 u + 1760 - 540
= 1 u + 1220
Difference in the volume of tea between Hazel and Jen in the end
= 5 p - 3 p
= 2 p
2 p = 1220 - 540
2 p = 680
1 p = 680 ÷ 2 = 340
Volume of tea that Hazel had at first
= 5 p + 540
= 5 x 340 + 540
= 1700 + 540
= 2240 mℓ
Answer(s): 2240 mℓ
