Tammy had 1840 mℓ more juice than Hilda. After Tammy gave Hilda 530 mℓ of juice, the ratio of Tammy's juice to Hilda's juice became 7 : 4. How much juice did Tammy have at first? Give your answer in millilitres.
| |
Tammy |
Hilda |
Difference |
| Before |
1 u + 1840 |
1 u |
1840 |
| Change |
- 530 |
+ 530 |
|
| After |
1 u + 1310 |
1 u + 530 |
780 |
Comparing Tammy and
Hilda in the end |
7 p |
4 p |
3 p |
Volume of juice that Tammy had in the end
= 1 u + 1840 - 530
= 1 u + 1310
Difference in the volume of juice between Tammy and Hilda in the end
= 7 p - 4 p
= 3 p
3 p = 1310 - 530
3 p = 780
1 p = 780 ÷ 3 = 260
Volume of juice that Tammy had at first
= 7 p + 530
= 7 x 260 + 530
= 1820 + 530
= 2350 mℓ
Answer(s): 2350 mℓ
