Gem had 1740 mℓ more juice than Emily. After Gem gave Emily 450 mℓ of juice, the ratio of Gem's juice to Emily's juice became 5 : 2. How much juice did Gem have at first? Give your answer in millilitres.
| |
Gem |
Emily |
Difference |
| Before |
1 u + 1740 |
1 u |
1740 |
| Change |
- 450 |
+ 450 |
|
| After |
1 u + 1290 |
1 u + 450 |
840 |
Comparing Gem and
Emily in the end |
5 p |
2 p |
3 p |
Volume of juice that Gem had in the end
= 1 u + 1740 - 450
= 1 u + 1290
Difference in the volume of juice between Gem and Emily in the end
= 5 p - 2 p
= 3 p
3 p = 1290 - 450
3 p = 840
1 p = 840 ÷ 3 = 280
Volume of juice that Gem had at first
= 5 p + 450
= 5 x 280 + 450
= 1400 + 450
= 1850 mℓ
Answer(s): 1850 mℓ
