Jaslyn had 2110 mℓ more coffee than Kathy. After Jaslyn gave Kathy 590 mℓ of coffee, the ratio of Jaslyn's coffee to Kathy's coffee became 5 : 2. How much coffee did Jaslyn have at first? Give your answer in millilitres.
| |
Jaslyn |
Kathy |
Difference |
| Before |
1 u + 2110 |
1 u |
2110 |
| Change |
- 590 |
+ 590 |
|
| After |
1 u + 1520 |
1 u + 590 |
930 |
Comparing Jaslyn and
Kathy in the end |
5 p |
2 p |
3 p |
Volume of coffee that Jaslyn had in the end
= 1 u + 2110 - 590
= 1 u + 1520
Difference in the volume of coffee between Jaslyn and Kathy in the end
= 5 p - 2 p
= 3 p
3 p = 1520 - 590
3 p = 930
1 p = 930 ÷ 3 = 310
Volume of coffee that Jaslyn had at first
= 5 p + 590
= 5 x 310 + 590
= 1550 + 590
= 2140 mℓ
Answer(s): 2140 mℓ
