Robert poured 895 mℓ of fruit punch into a glass, a bottle and a cup. The glass contained 3 times as much fruit punch as the bottle. The cup contained 123 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 = 3 u
Volume of fruit punch that a bottle contained = 1 u
Volume of fruit punch that a cup contained = 123 mℓ
Total volume of fruit punch
= 3 u + 1 u + 123
= 4 u + 123
4 u + 123 = 895
4 u = 895 - 123
4 u = 772
1 u = 772 ÷ 4 = 193
Volume of fruit punch the bottle contained
= 1 u
= 193 mℓ
(b)
Amount of fruit punch that the glass contained more than the cup
= 3 u - 123
= (3 x 193) - 123
= 579 - 123
= 456 mℓ
Answer(s): (a) 193 mℓ; (b) 456 mℓ
