Jen had 1540 mℓ more coffee than Lynn. After Jen gave Lynn 450 mℓ of coffee, the ratio of Jen's coffee to Lynn's coffee became 5 : 3. How much coffee did Jen have at first? Give your answer in millilitres.
| |
Jen |
Lynn |
Difference |
| Before |
1 u + 1540 |
1 u |
1540 |
| Change |
- 450 |
+ 450 |
|
| After |
1 u + 1090 |
1 u + 450 |
640 |
Comparing Jen and
Lynn in the end |
5 p |
3 p |
2 p |
Volume of coffee that Jen had in the end
= 1 u + 1540 - 450
= 1 u + 1090
Difference in the volume of coffee between Jen and Lynn in the end
= 5 p - 3 p
= 2 p
2 p = 1090 - 450
2 p = 640
1 p = 640 ÷ 2 = 320
Volume of coffee that Jen had at first
= 5 p + 450
= 5 x 320 + 450
= 1600 + 450
= 2050 mℓ
Answer(s): 2050 mℓ
