Diana had 2220 mℓ more juice than Tina. After Diana gave Tina 470 mℓ of juice, the ratio of Diana's juice to Tina's juice became 7 : 3. How much juice did Diana have at first? Give your answer in millilitres.
|
Diana |
Tina |
Difference |
Before |
1 u + 2220 |
1 u |
2220 |
Change |
- 470 |
+ 470 |
|
After |
1 u + 1750 |
1 u + 470 |
1280 |
Comparing Diana and Tina in the end |
7 p |
3 p |
4 p |
Volume of juice that Diana had in the end
= 1 u + 2220 - 470
= 1 u + 1750
Difference in the volume of juice between Diana and Tina in the end
= 7 p - 3 p
= 4 p
4 p = 1750 - 470
4 p = 1280
1 p = 1280 ÷ 4 = 320
Volume of juice that Diana had at first
= 7 p + 470
= 7 x 320 + 470
= 2240 + 470
= 2710 mℓ
Answer(s): 2710 mℓ