Robert poured 820 mℓ of fruit punch into a glass, a bottle and a cup. The glass contained 2 times as much fruit punch as the bottle. The cup contained 148 mℓ of fruit punch.
- How much fruit punch did the bottle contain?
- How much more fruit punch did the glass contain than the cup?
(a)
Volume of fruit punch that a glass contained = 2 u
Volume of fruit punch that a bottle contained = 1 u
Volume of fruit punch that a cup contained = 148 mℓ
Total volume of fruit punch
= 2 u + 1 u + 148
= 3 u + 148
3 u + 148 = 820
3 u = 820 - 148
3 u = 672
1 u = 672 ÷ 3 = 224
Volume of fruit punch the bottle contained
= 1 u
= 224 mℓ
(b)
Amount of fruit punch that the glass contained more than the cup
= 2 u - 148
= (2 x 224) - 148
= 448 - 148
= 300 mℓ
Answer(s): (a) 224 mℓ; (b) 300 mℓ
