Tammy had 2110 mℓ more coffee than Wendy. After Tammy gave Wendy 560 mℓ of coffee, the ratio of Tammy's coffee to Wendy's coffee became 5 : 2. How much coffee did Tammy have at first? Give your answer in millilitres.
| |
Tammy |
Wendy |
Difference |
| Before |
1 u + 2110 |
1 u |
2110 |
| Change |
- 560 |
+ 560 |
|
| After |
1 u + 1550 |
1 u + 560 |
990 |
Comparing Tammy and
Wendy in the end |
5 p |
2 p |
3 p |
Volume of coffee that Tammy had in the end
= 1 u + 2110 - 560
= 1 u + 1550
Difference in the volume of coffee between Tammy and Wendy in the end
= 5 p - 2 p
= 3 p
3 p = 1550 - 560
3 p = 990
1 p = 990 ÷ 3 = 330
Volume of coffee that Tammy had at first
= 5 p + 560
= 5 x 330 + 560
= 1650 + 560
= 2210 mℓ
Answer(s): 2210 mℓ
