Tammy had 2040 mℓ more juice than Victoria. After Tammy gave Victoria 400 mℓ of juice, the ratio of Tammy's juice to Victoria's juice became 7 : 3. How much juice did Tammy have at first? Give your answer in millilitres.
| |
Tammy |
Victoria |
Difference |
| Before |
1 u + 2040 |
1 u |
2040 |
| Change |
- 400 |
+ 400 |
|
| After |
1 u + 1640 |
1 u + 400 |
1240 |
Comparing Tammy and
Victoria in the end |
7 p |
3 p |
4 p |
Volume of juice that Tammy had in the end
= 1 u + 2040 - 400
= 1 u + 1640
Difference in the volume of juice between Tammy and Victoria in the end
= 7 p - 3 p
= 4 p
4 p = 1640 - 400
4 p = 1240
1 p = 1240 ÷ 4 = 310
Volume of juice that Tammy had at first
= 7 p + 400
= 7 x 310 + 400
= 2170 + 400
= 2570 mℓ
Answer(s): 2570 mℓ
