Zara had 1790 mℓ more orange juice than Tiffany. After Zara gave Tiffany 580 mℓ of orange juice, the ratio of Zara's orange juice to Tiffany's orange juice became 7 : 4. How much orange juice did Zara have at first? Give your answer in millilitres.
|
Zara |
Tiffany |
Difference |
Before |
1 u + 1790 |
1 u |
1790 |
Change |
- 580 |
+ 580 |
|
After |
1 u + 1210 |
1 u + 580 |
630 |
Comparing Zara and Tiffany in the end |
7 p |
4 p |
3 p |
Volume of orange juice that Zara had in the end
= 1 u + 1790 - 580
= 1 u + 1210
Difference in the volume of orange juice between Zara and Tiffany in the end
= 7 p - 4 p
= 3 p
3 p = 1210 - 580
3 p = 630
1 p = 630 ÷ 3 = 210
Volume of orange juice that Zara had at first
= 7 p + 580
= 7 x 210 + 580
= 1470 + 580
= 2050 mℓ
Answer(s): 2050 mℓ