Jane had 1270 mℓ more coffee than Abi. After Jane gave Abi 410 mℓ of coffee, the ratio of Jane's coffee to Abi's coffee became 7 : 4. How much coffee did Jane have at first? Give your answer in millilitres.
| |
Jane |
Abi |
Difference |
| Before |
1 u + 1270 |
1 u |
1270 |
| Change |
- 410 |
+ 410 |
|
| After |
1 u + 860 |
1 u + 410 |
450 |
Comparing Jane and
Abi in the end |
7 p |
4 p |
3 p |
Volume of coffee that Jane had in the end
= 1 u + 1270 - 410
= 1 u + 860
Difference in the volume of coffee between Jane and Abi in the end
= 7 p - 4 p
= 3 p
3 p = 860 - 410
3 p = 450
1 p = 450 ÷ 3 = 150
Volume of coffee that Jane had at first
= 7 p + 410
= 7 x 150 + 410
= 1050 + 410
= 1460 mℓ
Answer(s): 1460 mℓ
