Tammy had 1780 mℓ more orange juice than Diana. After Tammy gave Diana 410 mℓ of orange juice, the ratio of Tammy's orange juice to Diana's orange juice became 5 : 2. How much orange juice did Tammy have at first? Give your answer in millilitres.
| |
Tammy |
Diana |
Difference |
| Before |
1 u + 1780 |
1 u |
1780 |
| Change |
- 410 |
+ 410 |
|
| After |
1 u + 1370 |
1 u + 410 |
960 |
Comparing Tammy and
Diana in the end |
5 p |
2 p |
3 p |
Volume of orange juice that Tammy had in the end
= 1 u + 1780 - 410
= 1 u + 1370
Difference in the volume of orange juice between Tammy and Diana in the end
= 5 p - 2 p
= 3 p
3 p = 1370 - 410
3 p = 960
1 p = 960 ÷ 3 = 320
Volume of orange juice that Tammy had at first
= 5 p + 410
= 5 x 320 + 410
= 1600 + 410
= 2010 mℓ
Answer(s): 2010 mℓ
