Jaslyn had 1990 mℓ more coffee than Hazel. After Jaslyn gave Hazel 440 mℓ of coffee, the ratio of Jaslyn's coffee to Hazel's coffee became 5 : 2. How much coffee did Jaslyn have at first? Give your answer in millilitres.
| |
Jaslyn |
Hazel |
Difference |
| Before |
1 u + 1990 |
1 u |
1990 |
| Change |
- 440 |
+ 440 |
|
| After |
1 u + 1550 |
1 u + 440 |
1110 |
Comparing Jaslyn and
Hazel in the end |
5 p |
2 p |
3 p |
Volume of coffee that Jaslyn had in the end
= 1 u + 1990 - 440
= 1 u + 1550
Difference in the volume of coffee between Jaslyn and Hazel in the end
= 5 p - 2 p
= 3 p
3 p = 1550 - 440
3 p = 1110
1 p = 1110 ÷ 3 = 370
Volume of coffee that Jaslyn had at first
= 5 p + 440
= 5 x 370 + 440
= 1850 + 440
= 2290 mℓ
Answer(s): 2290 mℓ
