Jaslyn had 1140 mℓ more coffee than Esther. After Jaslyn gave Esther 410 mℓ of coffee, the ratio of Jaslyn's coffee to Esther's coffee became 5 : 3. How much coffee did Jaslyn have at first? Give your answer in millilitres.
| |
Jaslyn |
Esther |
Difference |
| Before |
1 u + 1140 |
1 u |
1140 |
| Change |
- 410 |
+ 410 |
|
| After |
1 u + 730 |
1 u + 410 |
320 |
Comparing Jaslyn and
Esther in the end |
5 p |
3 p |
2 p |
Volume of coffee that Jaslyn had in the end
= 1 u + 1140 - 410
= 1 u + 730
Difference in the volume of coffee between Jaslyn and Esther in the end
= 5 p - 3 p
= 2 p
2 p = 730 - 410
2 p = 320
1 p = 320 ÷ 2 = 160
Volume of coffee that Jaslyn had at first
= 5 p + 410
= 5 x 160 + 410
= 800 + 410
= 1210 mℓ
Answer(s): 1210 mℓ
