Jaslyn had 1600 mℓ more coffee than Kathy. After Jaslyn gave Kathy 530 mℓ of coffee, the ratio of Jaslyn's coffee to Kathy's coffee became 5 : 3. How much coffee did Jaslyn have at first? Give your answer in millilitres.
| |
Jaslyn |
Kathy |
Difference |
| Before |
1 u + 1600 |
1 u |
1600 |
| Change |
- 530 |
+ 530 |
|
| After |
1 u + 1070 |
1 u + 530 |
540 |
Comparing Jaslyn and
Kathy in the end |
5 p |
3 p |
2 p |
Volume of coffee that Jaslyn had in the end
= 1 u + 1600 - 530
= 1 u + 1070
Difference in the volume of coffee between Jaslyn and Kathy in the end
= 5 p - 3 p
= 2 p
2 p = 1070 - 530
2 p = 540
1 p = 540 ÷ 2 = 270
Volume of coffee that Jaslyn had at first
= 5 p + 530
= 5 x 270 + 530
= 1350 + 530
= 1880 mℓ
Answer(s): 1880 mℓ
