Dana had 1940 mℓ more juice than Zara. After Dana gave Zara 450 mℓ of juice, the ratio of Dana's juice to Zara's juice became 7 : 3. How much juice did Dana have at first? Give your answer in millilitres.
|
Dana |
Zara |
Difference |
Before |
1 u + 1940 |
1 u |
1940 |
Change |
- 450 |
+ 450 |
|
After |
1 u + 1490 |
1 u + 450 |
1040 |
Comparing Dana and Zara in the end |
7 p |
3 p |
4 p |
Volume of juice that Dana had in the end
= 1 u + 1940 - 450
= 1 u + 1490
Difference in the volume of juice between Dana and Zara in the end
= 7 p - 3 p
= 4 p
4 p = 1490 - 450
4 p = 1040
1 p = 1040 ÷ 4 = 260
Volume of juice that Dana had at first
= 7 p + 450
= 7 x 260 + 450
= 1820 + 450
= 2270 mℓ
Answer(s): 2270 mℓ