Tina had 2400 mℓ more juice than Jen. After Tina gave Jen 580 mℓ of juice, the ratio of Tina's juice to Jen's juice became 7 : 3. How much juice did Tina have at first? Give your answer in millilitres.
|
Tina |
Jen |
Difference |
Before |
1 u + 2400 |
1 u |
2400 |
Change |
- 580 |
+ 580 |
|
After |
1 u + 1820 |
1 u + 580 |
1240 |
Comparing Tina and Jen in the end |
7 p |
3 p |
4 p |
Volume of juice that Tina had in the end
= 1 u + 2400 - 580
= 1 u + 1820
Difference in the volume of juice between Tina and Jen in the end
= 7 p - 3 p
= 4 p
4 p = 1820 - 580
4 p = 1240
1 p = 1240 ÷ 4 = 310
Volume of juice that Tina had at first
= 7 p + 580
= 7 x 310 + 580
= 2170 + 580
= 2750 mℓ
Answer(s): 2750 mℓ